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Finding the Third Proportional to 10,382 and 15,681

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Solution

The third proportional to 10,382 and 15,681 is: 23,684.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,382 : 15,681 = 15,681 : x
  2. Step 2: Convert to fraction form
    10,382/15,681 = 15,681/x
  3. Step 3: Cross multiply
    10,382x = 15,681 × 15,681
  4. Step 4: Simplify right side
    10,382x = 245,893,761
  5. Step 5: Solve for x
    x = 245,893,761/10,382
  6. Step 6: Final answer
    x = 23,684.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.