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Finding the Third Proportional to 9,347 and 20,422

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Solution

The third proportional to 9,347 and 20,422 is: 44,619.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,347 : 20,422 = 20,422 : x
  2. Step 2: Convert to fraction form
    9,347/20,422 = 20,422/x
  3. Step 3: Cross multiply
    9,347x = 20,422 × 20,422
  4. Step 4: Simplify right side
    9,347x = 417,058,084
  5. Step 5: Solve for x
    x = 417,058,084/9,347
  6. Step 6: Final answer
    x = 44,619.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.