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Finding the Third Proportional to 39,514 and 85,812

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Solution

The third proportional to 39,514 and 85,812 is: 186,356.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,514 : 85,812 = 85,812 : x
  2. Step 2: Convert to fraction form
    39,514/85,812 = 85,812/x
  3. Step 3: Cross multiply
    39,514x = 85,812 × 85,812
  4. Step 4: Simplify right side
    39,514x = 7,363,699,344
  5. Step 5: Solve for x
    x = 7,363,699,344/39,514
  6. Step 6: Final answer
    x = 186,356.72

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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.