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Finding the Third Proportional to 47,947.50 and 71,921.25

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Solution

The third proportional to 47,947.50 and 71,921.25 is: 107,881.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,947.50 : 71,921.25 = 71,921.25 : x
  2. Step 2: Convert to fraction form
    47,947.50/71,921.25 = 71,921.25/x
  3. Step 3: Cross multiply
    47,947.50x = 71,921.25 × 71,921.25
  4. Step 4: Simplify right side
    47,947.50x = 5,172,666,201.56
  5. Step 5: Solve for x
    x = 5,172,666,201.56/47,947.50
  6. Step 6: Final answer
    x = 107,881.88

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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.