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Finding the Third Proportional to 37,253.25 and 72,633.38

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Solution

The third proportional to 37,253.25 and 72,633.38 is: 141,614.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,253.25 : 72,633.38 = 72,633.38 : x
  2. Step 2: Convert to fraction form
    37,253.25/72,633.38 = 72,633.38/x
  3. Step 3: Cross multiply
    37,253.25x = 72,633.38 × 72,633.38
  4. Step 4: Simplify right side
    37,253.25x = 5,275,607,163.89
  5. Step 5: Solve for x
    x = 5,275,607,163.89/37,253.25
  6. Step 6: Final answer
    x = 141,614.68

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.