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Finding the Third Proportional to 39,009 and 79,863

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Solution

The third proportional to 39,009 and 79,863 is: 163,503.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,009 : 79,863 = 79,863 : x
  2. Step 2: Convert to fraction form
    39,009/79,863 = 79,863/x
  3. Step 3: Cross multiply
    39,009x = 79,863 × 79,863
  4. Step 4: Simplify right side
    39,009x = 6,378,098,769
  5. Step 5: Solve for x
    x = 6,378,098,769/39,009
  6. Step 6: Final answer
    x = 163,503.26

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.