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Finding the Third Proportional to 39.59 and 61.28

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Solution

The third proportional to 39.59 and 61.28 is: 94.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.59 : 61.28 = 61.28 : x
  2. Step 2: Convert to fraction form
    39.59/61.28 = 61.28/x
  3. Step 3: Cross multiply
    39.59x = 61.28 × 61.28
  4. Step 4: Simplify right side
    39.59x = 3,755.39
  5. Step 5: Solve for x
    x = 3,755.39/39.59
  6. Step 6: Final answer
    x = 94.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.