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Finding the Third Proportional to 13,414 and 20,344

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Solution

The third proportional to 13,414 and 20,344 is: 30,854.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,414 : 20,344 = 20,344 : x
  2. Step 2: Convert to fraction form
    13,414/20,344 = 20,344/x
  3. Step 3: Cross multiply
    13,414x = 20,344 × 20,344
  4. Step 4: Simplify right side
    13,414x = 413,878,336
  5. Step 5: Solve for x
    x = 413,878,336/13,414
  6. Step 6: Final answer
    x = 30,854.21

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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.