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Finding the Third Proportional to 6,614.16 and 13,767.47

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Solution

The third proportional to 6,614.16 and 13,767.47 is: 28,657.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,614.16 : 13,767.47 = 13,767.47 : x
  2. Step 2: Convert to fraction form
    6,614.16/13,767.47 = 13,767.47/x
  3. Step 3: Cross multiply
    6,614.16x = 13,767.47 × 13,767.47
  4. Step 4: Simplify right side
    6,614.16x = 189,543,195.78
  5. Step 5: Solve for x
    x = 189,543,195.78/6,614.16
  6. Step 6: Final answer
    x = 28,657.20

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.