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Finding the Third Proportional to 1,952.75 and 4,217.38

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Solution

The third proportional to 1,952.75 and 4,217.38 is: 9,108.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952.75 : 4,217.38 = 4,217.38 : x
  2. Step 2: Convert to fraction form
    1,952.75/4,217.38 = 4,217.38/x
  3. Step 3: Cross multiply
    1,952.75x = 4,217.38 × 4,217.38
  4. Step 4: Simplify right side
    1,952.75x = 17,786,251.89
  5. Step 5: Solve for x
    x = 17,786,251.89/1,952.75
  6. Step 6: Final answer
    x = 9,108.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.