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Finding the Third Proportional to 10,149.05 and 15,684.89

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Solution

The third proportional to 10,149.05 and 15,684.89 is: 24,240.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,149.05 : 15,684.89 = 15,684.89 : x
  2. Step 2: Convert to fraction form
    10,149.05/15,684.89 = 15,684.89/x
  3. Step 3: Cross multiply
    10,149.05x = 15,684.89 × 15,684.89
  4. Step 4: Simplify right side
    10,149.05x = 246,015,793.92
  5. Step 5: Solve for x
    x = 246,015,793.92/10,149.05
  6. Step 6: Final answer
    x = 24,240.29

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