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Finding the Third Proportional to 39,754 and 63,519

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Solution

The third proportional to 39,754 and 63,519 is: 101,490.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,754 : 63,519 = 63,519 : x
  2. Step 2: Convert to fraction form
    39,754/63,519 = 63,519/x
  3. Step 3: Cross multiply
    39,754x = 63,519 × 63,519
  4. Step 4: Simplify right side
    39,754x = 4,034,663,361
  5. Step 5: Solve for x
    x = 4,034,663,361/39,754
  6. Step 6: Final answer
    x = 101,490.75

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.