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Finding the Third Proportional to 6,049.88 and 9,074.81

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Solution

The third proportional to 6,049.88 and 9,074.81 is: 13,612.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,049.88 : 9,074.81 = 9,074.81 : x
  2. Step 2: Convert to fraction form
    6,049.88/9,074.81 = 9,074.81/x
  3. Step 3: Cross multiply
    6,049.88x = 9,074.81 × 9,074.81
  4. Step 4: Simplify right side
    6,049.88x = 82,352,221.91
  5. Step 5: Solve for x
    x = 82,352,221.91/6,049.88
  6. Step 6: Final answer
    x = 13,612.22

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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.