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Finding the Third Proportional to 25.13 and 59

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Solution

The third proportional to 25.13 and 59 is: 138.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.13 : 59 = 59 : x
  2. Step 2: Convert to fraction form
    25.13/59 = 59/x
  3. Step 3: Cross multiply
    25.13x = 59 × 59
  4. Step 4: Simplify right side
    25.13x = 3,481
  5. Step 5: Solve for x
    x = 3,481/25.13
  6. Step 6: Final answer
    x = 138.55

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.