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Finding the Third Proportional to 39,638 and 61,573

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Solution

The third proportional to 39,638 and 61,573 is: 95,646.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,638 : 61,573 = 61,573 : x
  2. Step 2: Convert to fraction form
    39,638/61,573 = 61,573/x
  3. Step 3: Cross multiply
    39,638x = 61,573 × 61,573
  4. Step 4: Simplify right side
    39,638x = 3,791,234,329
  5. Step 5: Solve for x
    x = 3,791,234,329/39,638
  6. Step 6: Final answer
    x = 95,646.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.