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Finding the Third Proportional to 37,800 and 62,241.75

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Solution

The third proportional to 37,800 and 62,241.75 is: 102,487.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,800 : 62,241.75 = 62,241.75 : x
  2. Step 2: Convert to fraction form
    37,800/62,241.75 = 62,241.75/x
  3. Step 3: Cross multiply
    37,800x = 62,241.75 × 62,241.75
  4. Step 4: Simplify right side
    37,800x = 3,874,035,443.06
  5. Step 5: Solve for x
    x = 3,874,035,443.06/37,800
  6. Step 6: Final answer
    x = 102,487.71

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.