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Finding the Third Proportional to 35,344.13 and 74,778.75

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Solution

The third proportional to 35,344.13 and 74,778.75 is: 158,211.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,344.13 : 74,778.75 = 74,778.75 : x
  2. Step 2: Convert to fraction form
    35,344.13/74,778.75 = 74,778.75/x
  3. Step 3: Cross multiply
    35,344.13x = 74,778.75 × 74,778.75
  4. Step 4: Simplify right side
    35,344.13x = 5,591,861,451.56
  5. Step 5: Solve for x
    x = 5,591,861,451.56/35,344.13
  6. Step 6: Final answer
    x = 158,211.91

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.