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Finding the Third Proportional to 4,150.13 and 6,243.19

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Solution

The third proportional to 4,150.13 and 6,243.19 is: 9,391.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,150.13 : 6,243.19 = 6,243.19 : x
  2. Step 2: Convert to fraction form
    4,150.13/6,243.19 = 6,243.19/x
  3. Step 3: Cross multiply
    4,150.13x = 6,243.19 × 6,243.19
  4. Step 4: Simplify right side
    4,150.13x = 38,977,390.16
  5. Step 5: Solve for x
    x = 38,977,390.16/4,150.13
  6. Step 6: Final answer
    x = 9,391.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.