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Finding the Third Proportional to 22,261.50 and 47,439

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Solution

The third proportional to 22,261.50 and 47,439 is: 101,091.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,261.50 : 47,439 = 47,439 : x
  2. Step 2: Convert to fraction form
    22,261.50/47,439 = 47,439/x
  3. Step 3: Cross multiply
    22,261.50x = 47,439 × 47,439
  4. Step 4: Simplify right side
    22,261.50x = 2,250,458,721
  5. Step 5: Solve for x
    x = 2,250,458,721/22,261.50
  6. Step 6: Final answer
    x = 101,091.96

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.