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Finding the Third Proportional to 6,049.13 and 9,232.31

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Solution

The third proportional to 6,049.13 and 9,232.31 is: 14,090.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,049.13 : 9,232.31 = 9,232.31 : x
  2. Step 2: Convert to fraction form
    6,049.13/9,232.31 = 9,232.31/x
  3. Step 3: Cross multiply
    6,049.13x = 9,232.31 × 9,232.31
  4. Step 4: Simplify right side
    6,049.13x = 85,235,594.10
  5. Step 5: Solve for x
    x = 85,235,594.10/6,049.13
  6. Step 6: Final answer
    x = 14,090.57

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.