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Finding the Third Proportional to 38,508 and 79,599

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Solution

The third proportional to 38,508 and 79,599 is: 164,537.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,508 : 79,599 = 79,599 : x
  2. Step 2: Convert to fraction form
    38,508/79,599 = 79,599/x
  3. Step 3: Cross multiply
    38,508x = 79,599 × 79,599
  4. Step 4: Simplify right side
    38,508x = 6,336,000,801
  5. Step 5: Solve for x
    x = 6,336,000,801/38,508
  6. Step 6: Final answer
    x = 164,537.26

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.