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Finding the Third Proportional to 2,548.65 and 5,614.66

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Solution

The third proportional to 2,548.65 and 5,614.66 is: 12,369.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,548.65 : 5,614.66 = 5,614.66 : x
  2. Step 2: Convert to fraction form
    2,548.65/5,614.66 = 5,614.66/x
  3. Step 3: Cross multiply
    2,548.65x = 5,614.66 × 5,614.66
  4. Step 4: Simplify right side
    2,548.65x = 31,524,452.53
  5. Step 5: Solve for x
    x = 31,524,452.53/2,548.65
  6. Step 6: Final answer
    x = 12,369.07

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.