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Finding the Third Proportional to 38,229.75 and 41,145.75

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Solution

The third proportional to 38,229.75 and 41,145.75 is: 44,284.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,229.75 : 41,145.75 = 41,145.75 : x
  2. Step 2: Convert to fraction form
    38,229.75/41,145.75 = 41,145.75/x
  3. Step 3: Cross multiply
    38,229.75x = 41,145.75 × 41,145.75
  4. Step 4: Simplify right side
    38,229.75x = 1,692,972,743.06
  5. Step 5: Solve for x
    x = 1,692,972,743.06/38,229.75
  6. Step 6: Final answer
    x = 44,284.17

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.