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Finding the Third Proportional to 952.75 and 2,001.25

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Solution

The third proportional to 952.75 and 2,001.25 is: 4,203.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.75 : 2,001.25 = 2,001.25 : x
  2. Step 2: Convert to fraction form
    952.75/2,001.25 = 2,001.25/x
  3. Step 3: Cross multiply
    952.75x = 2,001.25 × 2,001.25
  4. Step 4: Simplify right side
    952.75x = 4,005,001.56
  5. Step 5: Solve for x
    x = 4,005,001.56/952.75
  6. Step 6: Final answer
    x = 4,203.62

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.