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Finding the Third Proportional to 22,085 and 47,327

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Solution

The third proportional to 22,085 and 47,327 is: 101,419.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,085 : 47,327 = 47,327 : x
  2. Step 2: Convert to fraction form
    22,085/47,327 = 47,327/x
  3. Step 3: Cross multiply
    22,085x = 47,327 × 47,327
  4. Step 4: Simplify right side
    22,085x = 2,239,844,929
  5. Step 5: Solve for x
    x = 2,239,844,929/22,085
  6. Step 6: Final answer
    x = 101,419.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.