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Finding the Third Proportional to 17,874 and 39,069

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Solution

The third proportional to 17,874 and 39,069 is: 85,397.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,874 : 39,069 = 39,069 : x
  2. Step 2: Convert to fraction form
    17,874/39,069 = 39,069/x
  3. Step 3: Cross multiply
    17,874x = 39,069 × 39,069
  4. Step 4: Simplify right side
    17,874x = 1,526,386,761
  5. Step 5: Solve for x
    x = 1,526,386,761/17,874
  6. Step 6: Final answer
    x = 85,397.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.