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Finding the Third Proportional to 3,022.88 and 7,282.13

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Solution

The third proportional to 3,022.88 and 7,282.13 is: 17,542.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,022.88 : 7,282.13 = 7,282.13 : x
  2. Step 2: Convert to fraction form
    3,022.88/7,282.13 = 7,282.13/x
  3. Step 3: Cross multiply
    3,022.88x = 7,282.13 × 7,282.13
  4. Step 4: Simplify right side
    3,022.88x = 53,029,344.52
  5. Step 5: Solve for x
    x = 53,029,344.52/3,022.88
  6. Step 6: Final answer
    x = 17,542.69

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.