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Finding the Third Proportional to 7,924 and 16,909

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Solution

The third proportional to 7,924 and 16,909 is: 36,082.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,924 : 16,909 = 16,909 : x
  2. Step 2: Convert to fraction form
    7,924/16,909 = 16,909/x
  3. Step 3: Cross multiply
    7,924x = 16,909 × 16,909
  4. Step 4: Simplify right side
    7,924x = 285,914,281
  5. Step 5: Solve for x
    x = 285,914,281/7,924
  6. Step 6: Final answer
    x = 36,082.06

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.