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Finding the Third Proportional to 42,472 and 63,814

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Solution

The third proportional to 42,472 and 63,814 is: 95,880.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,472 : 63,814 = 63,814 : x
  2. Step 2: Convert to fraction form
    42,472/63,814 = 63,814/x
  3. Step 3: Cross multiply
    42,472x = 63,814 × 63,814
  4. Step 4: Simplify right side
    42,472x = 4,072,226,596
  5. Step 5: Solve for x
    x = 4,072,226,596/42,472
  6. Step 6: Final answer
    x = 95,880.26

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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.