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Finding the Third Proportional to 2,614.15 and 5,592.80

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Solution

The third proportional to 2,614.15 and 5,592.80 is: 11,965.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614.15 : 5,592.80 = 5,592.80 : x
  2. Step 2: Convert to fraction form
    2,614.15/5,592.80 = 5,592.80/x
  3. Step 3: Cross multiply
    2,614.15x = 5,592.80 × 5,592.80
  4. Step 4: Simplify right side
    2,614.15x = 31,279,376.89
  5. Step 5: Solve for x
    x = 31,279,376.89/2,614.15
  6. Step 6: Final answer
    x = 11,965.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.