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Finding the Third Proportional to 22,384 and 27,376

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Solution

The third proportional to 22,384 and 27,376 is: 33,481.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,384 : 27,376 = 27,376 : x
  2. Step 2: Convert to fraction form
    22,384/27,376 = 27,376/x
  3. Step 3: Cross multiply
    22,384x = 27,376 × 27,376
  4. Step 4: Simplify right side
    22,384x = 749,445,376
  5. Step 5: Solve for x
    x = 749,445,376/22,384
  6. Step 6: Final answer
    x = 33,481.30

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.