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Finding the Third Proportional to 22,832 and 34,302

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Solution

The third proportional to 22,832 and 34,302 is: 51,534.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,832 : 34,302 = 34,302 : x
  2. Step 2: Convert to fraction form
    22,832/34,302 = 34,302/x
  3. Step 3: Cross multiply
    22,832x = 34,302 × 34,302
  4. Step 4: Simplify right side
    22,832x = 1,176,627,204
  5. Step 5: Solve for x
    x = 1,176,627,204/22,832
  6. Step 6: Final answer
    x = 51,534.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.