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Finding the Third Proportional to 6,246.56 and 9,340.03

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Solution

The third proportional to 6,246.56 and 9,340.03 is: 13,965.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,246.56 : 9,340.03 = 9,340.03 : x
  2. Step 2: Convert to fraction form
    6,246.56/9,340.03 = 9,340.03/x
  3. Step 3: Cross multiply
    6,246.56x = 9,340.03 × 9,340.03
  4. Step 4: Simplify right side
    6,246.56x = 87,236,183.75
  5. Step 5: Solve for x
    x = 87,236,183.75/6,246.56
  6. Step 6: Final answer
    x = 13,965.47

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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.