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Finding the Third Proportional to 3,862.69 and 6,149.67

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Solution

The third proportional to 3,862.69 and 6,149.67 is: 9,790.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.69 : 6,149.67 = 6,149.67 : x
  2. Step 2: Convert to fraction form
    3,862.69/6,149.67 = 6,149.67/x
  3. Step 3: Cross multiply
    3,862.69x = 6,149.67 × 6,149.67
  4. Step 4: Simplify right side
    3,862.69x = 37,818,464.17
  5. Step 5: Solve for x
    x = 37,818,464.17/3,862.69
  6. Step 6: Final answer
    x = 9,790.71

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.