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Finding the Third Proportional to 9,750.38 and 15,121.69

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Solution

The third proportional to 9,750.38 and 15,121.69 is: 23,451.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,750.38 : 15,121.69 = 15,121.69 : x
  2. Step 2: Convert to fraction form
    9,750.38/15,121.69 = 15,121.69/x
  3. Step 3: Cross multiply
    9,750.38x = 15,121.69 × 15,121.69
  4. Step 4: Simplify right side
    9,750.38x = 228,665,432.85
  5. Step 5: Solve for x
    x = 228,665,432.85/9,750.38
  6. Step 6: Final answer
    x = 23,451.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.