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Finding the Third Proportional to 27,947.50 and 41,542

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Solution

The third proportional to 27,947.50 and 41,542 is: 61,749.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,947.50 : 41,542 = 41,542 : x
  2. Step 2: Convert to fraction form
    27,947.50/41,542 = 41,542/x
  3. Step 3: Cross multiply
    27,947.50x = 41,542 × 41,542
  4. Step 4: Simplify right side
    27,947.50x = 1,725,737,764
  5. Step 5: Solve for x
    x = 1,725,737,764/27,947.50
  6. Step 6: Final answer
    x = 61,749.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.