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Finding the Third Proportional to 41,731.50 and 55,984.50

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Solution

The third proportional to 41,731.50 and 55,984.50 is: 75,105.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,731.50 : 55,984.50 = 55,984.50 : x
  2. Step 2: Convert to fraction form
    41,731.50/55,984.50 = 55,984.50/x
  3. Step 3: Cross multiply
    41,731.50x = 55,984.50 × 55,984.50
  4. Step 4: Simplify right side
    41,731.50x = 3,134,264,240.25
  5. Step 5: Solve for x
    x = 3,134,264,240.25/41,731.50
  6. Step 6: Final answer
    x = 75,105.48

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.