To find equivalent ratios for the ratio \( 26:25 \), you can multiply both numbers by the same non-zero integer. Here are some examples:
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Multiply by 1: \[ 26 \times 1 : 25 \times 1 = 26:25 \]
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Multiply by 2: \[ 26 \times 2 : 25 \times 2 = 52:50 \]
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Multiply by 3: \[ 26 \times 3 : 25 \times 3 = 78:75 \]
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Multiply by 4: \[ 26 \times 4 : 25 \times 4 = 104:100 \]
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Multiply by 5: \[ 26 \times 5 : 25 \times 5 = 130:125 \]
You can continue this process for any integer \( n \). Therefore, some equivalent ratios for \( 26:25 \) include \( 52:50 \), \( 78:75 \), \( 104:100 \), \( 130:125 \), etc.
In general, the equivalent ratio can be expressed as \( 26n : 25n \) where \( n \) is any non-zero integer.