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Finding the Third Proportional to 39.63 and 59.31

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Solution

The third proportional to 39.63 and 59.31 is: 88.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.63 : 59.31 = 59.31 : x
  2. Step 2: Convert to fraction form
    39.63/59.31 = 59.31/x
  3. Step 3: Cross multiply
    39.63x = 59.31 × 59.31
  4. Step 4: Simplify right side
    39.63x = 3,517.97
  5. Step 5: Solve for x
    x = 3,517.97/39.63
  6. Step 6: Final answer
    x = 88.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.