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Finding the Third Proportional to 42,614 and 63,894

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Solution

The third proportional to 42,614 and 63,894 is: 95,800.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,614 : 63,894 = 63,894 : x
  2. Step 2: Convert to fraction form
    42,614/63,894 = 63,894/x
  3. Step 3: Cross multiply
    42,614x = 63,894 × 63,894
  4. Step 4: Simplify right side
    42,614x = 4,082,443,236
  5. Step 5: Solve for x
    x = 4,082,443,236/42,614
  6. Step 6: Final answer
    x = 95,800.52

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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.