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Finding the Third Proportional to 2,343.62 and 5,020.42

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Solution

The third proportional to 2,343.62 and 5,020.42 is: 10,754.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,343.62 : 5,020.42 = 5,020.42 : x
  2. Step 2: Convert to fraction form
    2,343.62/5,020.42 = 5,020.42/x
  3. Step 3: Cross multiply
    2,343.62x = 5,020.42 × 5,020.42
  4. Step 4: Simplify right side
    2,343.62x = 25,204,596.58
  5. Step 5: Solve for x
    x = 25,204,596.58/2,343.62
  6. Step 6: Final answer
    x = 10,754.55

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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.