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Finding the Third Proportional to 39,863 and 84,586

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Solution

The third proportional to 39,863 and 84,586 is: 179,484.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,863 : 84,586 = 84,586 : x
  2. Step 2: Convert to fraction form
    39,863/84,586 = 84,586/x
  3. Step 3: Cross multiply
    39,863x = 84,586 × 84,586
  4. Step 4: Simplify right side
    39,863x = 7,154,791,396
  5. Step 5: Solve for x
    x = 7,154,791,396/39,863
  6. Step 6: Final answer
    x = 179,484.52

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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.