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Finding the Third Proportional to 26.72 and 61.46

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Solution

The third proportional to 26.72 and 61.46 is: 141.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.72 : 61.46 = 61.46 : x
  2. Step 2: Convert to fraction form
    26.72/61.46 = 61.46/x
  3. Step 3: Cross multiply
    26.72x = 61.46 × 61.46
  4. Step 4: Simplify right side
    26.72x = 3,777.52
  5. Step 5: Solve for x
    x = 3,777.52/26.72
  6. Step 6: Final answer
    x = 141.36

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.