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Finding the Third Proportional to 39,514 and 85,586

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Solution

The third proportional to 39,514 and 85,586 is: 185,376.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,514 : 85,586 = 85,586 : x
  2. Step 2: Convert to fraction form
    39,514/85,586 = 85,586/x
  3. Step 3: Cross multiply
    39,514x = 85,586 × 85,586
  4. Step 4: Simplify right side
    39,514x = 7,324,963,396
  5. Step 5: Solve for x
    x = 7,324,963,396/39,514
  6. Step 6: Final answer
    x = 185,376.41

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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.