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Finding the Third Proportional to 40,884.75 and 76,150.13

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Solution

The third proportional to 40,884.75 and 76,150.13 is: 141,833.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,884.75 : 76,150.13 = 76,150.13 : x
  2. Step 2: Convert to fraction form
    40,884.75/76,150.13 = 76,150.13/x
  3. Step 3: Cross multiply
    40,884.75x = 76,150.13 × 76,150.13
  4. Step 4: Simplify right side
    40,884.75x = 5,798,841,537.52
  5. Step 5: Solve for x
    x = 5,798,841,537.52/40,884.75
  6. Step 6: Final answer
    x = 141,833.85

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.