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Finding the Third Proportional to 10,382 and 16,103

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Solution

The third proportional to 10,382 and 16,103 is: 24,976.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,382 : 16,103 = 16,103 : x
  2. Step 2: Convert to fraction form
    10,382/16,103 = 16,103/x
  3. Step 3: Cross multiply
    10,382x = 16,103 × 16,103
  4. Step 4: Simplify right side
    10,382x = 259,306,609
  5. Step 5: Solve for x
    x = 259,306,609/10,382
  6. Step 6: Final answer
    x = 24,976.56

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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.