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Finding the Third Proportional to 9,884 and 15,902

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Solution

The third proportional to 9,884 and 15,902 is: 25,584.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,884 : 15,902 = 15,902 : x
  2. Step 2: Convert to fraction form
    9,884/15,902 = 15,902/x
  3. Step 3: Cross multiply
    9,884x = 15,902 × 15,902
  4. Step 4: Simplify right side
    9,884x = 252,873,604
  5. Step 5: Solve for x
    x = 252,873,604/9,884
  6. Step 6: Final answer
    x = 25,584.14

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.