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Finding the Third Proportional to 13,417 and 20,414

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Solution

The third proportional to 13,417 and 20,414 is: 31,059.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,417 : 20,414 = 20,414 : x
  2. Step 2: Convert to fraction form
    13,417/20,414 = 20,414/x
  3. Step 3: Cross multiply
    13,417x = 20,414 × 20,414
  4. Step 4: Simplify right side
    13,417x = 416,731,396
  5. Step 5: Solve for x
    x = 416,731,396/13,417
  6. Step 6: Final answer
    x = 31,059.95

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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.