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Finding the Third Proportional to 39,496 and 84,414

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Solution

The third proportional to 39,496 and 84,414 is: 180,416.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,496 : 84,414 = 84,414 : x
  2. Step 2: Convert to fraction form
    39,496/84,414 = 84,414/x
  3. Step 3: Cross multiply
    39,496x = 84,414 × 84,414
  4. Step 4: Simplify right side
    39,496x = 7,125,723,396
  5. Step 5: Solve for x
    x = 7,125,723,396/39,496
  6. Step 6: Final answer
    x = 180,416.33

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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.