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Finding the Third Proportional to 22,801 and 33,414

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Solution

The third proportional to 22,801 and 33,414 is: 48,966.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,801 : 33,414 = 33,414 : x
  2. Step 2: Convert to fraction form
    22,801/33,414 = 33,414/x
  3. Step 3: Cross multiply
    22,801x = 33,414 × 33,414
  4. Step 4: Simplify right side
    22,801x = 1,116,495,396
  5. Step 5: Solve for x
    x = 1,116,495,396/22,801
  6. Step 6: Final answer
    x = 48,966.95

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.