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Finding the Third Proportional to 39,242.75 and 80,552.50

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Solution

The third proportional to 39,242.75 and 80,552.50 is: 165,347.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,242.75 : 80,552.50 = 80,552.50 : x
  2. Step 2: Convert to fraction form
    39,242.75/80,552.50 = 80,552.50/x
  3. Step 3: Cross multiply
    39,242.75x = 80,552.50 × 80,552.50
  4. Step 4: Simplify right side
    39,242.75x = 6,488,705,256.25
  5. Step 5: Solve for x
    x = 6,488,705,256.25/39,242.75
  6. Step 6: Final answer
    x = 165,347.87

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.