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Finding the Third Proportional to 14,691 and 22,382

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Solution

The third proportional to 14,691 and 22,382 is: 34,099.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,691 : 22,382 = 22,382 : x
  2. Step 2: Convert to fraction form
    14,691/22,382 = 22,382/x
  3. Step 3: Cross multiply
    14,691x = 22,382 × 22,382
  4. Step 4: Simplify right side
    14,691x = 500,953,924
  5. Step 5: Solve for x
    x = 500,953,924/14,691
  6. Step 6: Final answer
    x = 34,099.38

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.