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Finding the Third Proportional to 42,482 and 63,739

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Solution

The third proportional to 42,482 and 63,739 is: 95,632.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,482 : 63,739 = 63,739 : x
  2. Step 2: Convert to fraction form
    42,482/63,739 = 63,739/x
  3. Step 3: Cross multiply
    42,482x = 63,739 × 63,739
  4. Step 4: Simplify right side
    42,482x = 4,062,660,121
  5. Step 5: Solve for x
    x = 4,062,660,121/42,482
  6. Step 6: Final answer
    x = 95,632.51

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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.