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Finding the Third Proportional to 40,027.50 and 85,239

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Solution

The third proportional to 40,027.50 and 85,239 is: 181,517.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,027.50 : 85,239 = 85,239 : x
  2. Step 2: Convert to fraction form
    40,027.50/85,239 = 85,239/x
  3. Step 3: Cross multiply
    40,027.50x = 85,239 × 85,239
  4. Step 4: Simplify right side
    40,027.50x = 7,265,687,121
  5. Step 5: Solve for x
    x = 7,265,687,121/40,027.50
  6. Step 6: Final answer
    x = 181,517.38

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.