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Finding the Third Proportional to 39,841 and 65,863

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Solution

The third proportional to 39,841 and 65,863 is: 108,881.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,841 : 65,863 = 65,863 : x
  2. Step 2: Convert to fraction form
    39,841/65,863 = 65,863/x
  3. Step 3: Cross multiply
    39,841x = 65,863 × 65,863
  4. Step 4: Simplify right side
    39,841x = 4,337,934,769
  5. Step 5: Solve for x
    x = 4,337,934,769/39,841
  6. Step 6: Final answer
    x = 108,881.17

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.