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Finding the Third Proportional to 9,438 and 20,414

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Solution

The third proportional to 9,438 and 20,414 is: 44,154.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,438 : 20,414 = 20,414 : x
  2. Step 2: Convert to fraction form
    9,438/20,414 = 20,414/x
  3. Step 3: Cross multiply
    9,438x = 20,414 × 20,414
  4. Step 4: Simplify right side
    9,438x = 416,731,396
  5. Step 5: Solve for x
    x = 416,731,396/9,438
  6. Step 6: Final answer
    x = 44,154.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.