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Finding the Third Proportional to 39,884 and 86,372

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Solution

The third proportional to 39,884 and 86,372 is: 187,045.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,884 : 86,372 = 86,372 : x
  2. Step 2: Convert to fraction form
    39,884/86,372 = 86,372/x
  3. Step 3: Cross multiply
    39,884x = 86,372 × 86,372
  4. Step 4: Simplify right side
    39,884x = 7,460,122,384
  5. Step 5: Solve for x
    x = 7,460,122,384/39,884
  6. Step 6: Final answer
    x = 187,045.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.