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Finding the Third Proportional to 39,864 and 84,588

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Solution

The third proportional to 39,864 and 84,588 is: 179,488.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,864 : 84,588 = 84,588 : x
  2. Step 2: Convert to fraction form
    39,864/84,588 = 84,588/x
  3. Step 3: Cross multiply
    39,864x = 84,588 × 84,588
  4. Step 4: Simplify right side
    39,864x = 7,155,129,744
  5. Step 5: Solve for x
    x = 7,155,129,744/39,864
  6. Step 6: Final answer
    x = 179,488.50

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.