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Finding the Third Proportional to 2,367.14 and 5,022.42

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Solution

The third proportional to 2,367.14 and 5,022.42 is: 10,656.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367.14 : 5,022.42 = 5,022.42 : x
  2. Step 2: Convert to fraction form
    2,367.14/5,022.42 = 5,022.42/x
  3. Step 3: Cross multiply
    2,367.14x = 5,022.42 × 5,022.42
  4. Step 4: Simplify right side
    2,367.14x = 25,224,721.49
  5. Step 5: Solve for x
    x = 25,224,721.49/2,367.14
  6. Step 6: Final answer
    x = 10,656.20

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.