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Finding the Third Proportional to 535.75 and 1,151.25

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Solution

The third proportional to 535.75 and 1,151.25 is: 2,473.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.75 : 1,151.25 = 1,151.25 : x
  2. Step 2: Convert to fraction form
    535.75/1,151.25 = 1,151.25/x
  3. Step 3: Cross multiply
    535.75x = 1,151.25 × 1,151.25
  4. Step 4: Simplify right side
    535.75x = 1,325,376.56
  5. Step 5: Solve for x
    x = 1,325,376.56/535.75
  6. Step 6: Final answer
    x = 2,473.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.