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Finding the Third Proportional to 22,433 and 47,599

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Solution

The third proportional to 22,433 and 47,599 is: 100,996.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,433 : 47,599 = 47,599 : x
  2. Step 2: Convert to fraction form
    22,433/47,599 = 47,599/x
  3. Step 3: Cross multiply
    22,433x = 47,599 × 47,599
  4. Step 4: Simplify right side
    22,433x = 2,265,664,801
  5. Step 5: Solve for x
    x = 2,265,664,801/22,433
  6. Step 6: Final answer
    x = 100,996.96

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.