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Finding the Third Proportional to 38,227.50 and 41,143.50

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Solution

The third proportional to 38,227.50 and 41,143.50 is: 44,281.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,227.50 : 41,143.50 = 41,143.50 : x
  2. Step 2: Convert to fraction form
    38,227.50/41,143.50 = 41,143.50/x
  3. Step 3: Cross multiply
    38,227.50x = 41,143.50 × 41,143.50
  4. Step 4: Simplify right side
    38,227.50x = 1,692,787,592.25
  5. Step 5: Solve for x
    x = 1,692,787,592.25/38,227.50
  6. Step 6: Final answer
    x = 44,281.93

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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.