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Finding the Third Proportional to 39,481 and 52,165.50

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Solution

The third proportional to 39,481 and 52,165.50 is: 68,925.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,481 : 52,165.50 = 52,165.50 : x
  2. Step 2: Convert to fraction form
    39,481/52,165.50 = 52,165.50/x
  3. Step 3: Cross multiply
    39,481x = 52,165.50 × 52,165.50
  4. Step 4: Simplify right side
    39,481x = 2,721,239,390.25
  5. Step 5: Solve for x
    x = 2,721,239,390.25/39,481
  6. Step 6: Final answer
    x = 68,925.29

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.