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Finding the Third Proportional to 36,645.50 and 74,571

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Solution

The third proportional to 36,645.50 and 74,571 is: 151,746.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,645.50 : 74,571 = 74,571 : x
  2. Step 2: Convert to fraction form
    36,645.50/74,571 = 74,571/x
  3. Step 3: Cross multiply
    36,645.50x = 74,571 × 74,571
  4. Step 4: Simplify right side
    36,645.50x = 5,560,834,041
  5. Step 5: Solve for x
    x = 5,560,834,041/36,645.50
  6. Step 6: Final answer
    x = 151,746.71

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.