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Finding the Third Proportional to 41,850 and 62,867.25

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Solution

The third proportional to 41,850 and 62,867.25 is: 94,439.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,850 : 62,867.25 = 62,867.25 : x
  2. Step 2: Convert to fraction form
    41,850/62,867.25 = 62,867.25/x
  3. Step 3: Cross multiply
    41,850x = 62,867.25 × 62,867.25
  4. Step 4: Simplify right side
    41,850x = 3,952,291,122.56
  5. Step 5: Solve for x
    x = 3,952,291,122.56/41,850
  6. Step 6: Final answer
    x = 94,439.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.