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Finding the Third Proportional to 8,049 and 17,069

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Solution

The third proportional to 8,049 and 17,069 is: 36,197.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,049 : 17,069 = 17,069 : x
  2. Step 2: Convert to fraction form
    8,049/17,069 = 17,069/x
  3. Step 3: Cross multiply
    8,049x = 17,069 × 17,069
  4. Step 4: Simplify right side
    8,049x = 291,350,761
  5. Step 5: Solve for x
    x = 291,350,761/8,049
  6. Step 6: Final answer
    x = 36,197.14

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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.