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Finding the Third Proportional to 9,902 and 15,382

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Solution

The third proportional to 9,902 and 15,382 is: 23,894.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902 : 15,382 = 15,382 : x
  2. Step 2: Convert to fraction form
    9,902/15,382 = 15,382/x
  3. Step 3: Cross multiply
    9,902x = 15,382 × 15,382
  4. Step 4: Simplify right side
    9,902x = 236,605,924
  5. Step 5: Solve for x
    x = 236,605,924/9,902
  6. Step 6: Final answer
    x = 23,894.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.