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Finding the Third Proportional to 39,469 and 84,473

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Solution

The third proportional to 39,469 and 84,473 is: 180,792.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,469 : 84,473 = 84,473 : x
  2. Step 2: Convert to fraction form
    39,469/84,473 = 84,473/x
  3. Step 3: Cross multiply
    39,469x = 84,473 × 84,473
  4. Step 4: Simplify right side
    39,469x = 7,135,687,729
  5. Step 5: Solve for x
    x = 7,135,687,729/39,469
  6. Step 6: Final answer
    x = 180,792.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.