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Finding the Third Proportional to 11,566 and 18,382

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Solution

The third proportional to 11,566 and 18,382 is: 29,214.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,566 : 18,382 = 18,382 : x
  2. Step 2: Convert to fraction form
    11,566/18,382 = 18,382/x
  3. Step 3: Cross multiply
    11,566x = 18,382 × 18,382
  4. Step 4: Simplify right side
    11,566x = 337,897,924
  5. Step 5: Solve for x
    x = 337,897,924/11,566
  6. Step 6: Final answer
    x = 29,214.76

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.