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Finding the Third Proportional to 47,731.50 and 71,707.50

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Solution

The third proportional to 47,731.50 and 71,707.50 is: 107,726.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,731.50 : 71,707.50 = 71,707.50 : x
  2. Step 2: Convert to fraction form
    47,731.50/71,707.50 = 71,707.50/x
  3. Step 3: Cross multiply
    47,731.50x = 71,707.50 × 71,707.50
  4. Step 4: Simplify right side
    47,731.50x = 5,141,965,556.25
  5. Step 5: Solve for x
    x = 5,141,965,556.25/47,731.50
  6. Step 6: Final answer
    x = 107,726.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.