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Finding the Third Proportional to 6,550.24 and 14,138.30

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Solution

The third proportional to 6,550.24 and 14,138.30 is: 30,516.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,550.24 : 14,138.30 = 14,138.30 : x
  2. Step 2: Convert to fraction form
    6,550.24/14,138.30 = 14,138.30/x
  3. Step 3: Cross multiply
    6,550.24x = 14,138.30 × 14,138.30
  4. Step 4: Simplify right side
    6,550.24x = 199,891,438.53
  5. Step 5: Solve for x
    x = 199,891,438.53/6,550.24
  6. Step 6: Final answer
    x = 30,516.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.