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Finding the Third Proportional to 3,250.69 and 5,022.28

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Solution

The third proportional to 3,250.69 and 5,022.28 is: 7,759.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,250.69 : 5,022.28 = 5,022.28 : x
  2. Step 2: Convert to fraction form
    3,250.69/5,022.28 = 5,022.28/x
  3. Step 3: Cross multiply
    3,250.69x = 5,022.28 × 5,022.28
  4. Step 4: Simplify right side
    3,250.69x = 25,223,308.95
  5. Step 5: Solve for x
    x = 25,223,308.95/3,250.69
  6. Step 6: Final answer
    x = 7,759.38

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.