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Finding the Third Proportional to 37,801 and 62,243.50

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Solution

The third proportional to 37,801 and 62,243.50 is: 102,490.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,801 : 62,243.50 = 62,243.50 : x
  2. Step 2: Convert to fraction form
    37,801/62,243.50 = 62,243.50/x
  3. Step 3: Cross multiply
    37,801x = 62,243.50 × 62,243.50
  4. Step 4: Simplify right side
    37,801x = 3,874,253,292.25
  5. Step 5: Solve for x
    x = 3,874,253,292.25/37,801
  6. Step 6: Final answer
    x = 102,490.76

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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.