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Finding the Third Proportional to 15,866 and 22,314

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Solution

The third proportional to 15,866 and 22,314 is: 31,382.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,866 : 22,314 = 22,314 : x
  2. Step 2: Convert to fraction form
    15,866/22,314 = 22,314/x
  3. Step 3: Cross multiply
    15,866x = 22,314 × 22,314
  4. Step 4: Simplify right side
    15,866x = 497,914,596
  5. Step 5: Solve for x
    x = 497,914,596/15,866
  6. Step 6: Final answer
    x = 31,382.49

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.