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Finding the Third Proportional to 1,502.25 and 3,507.75

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Solution

The third proportional to 1,502.25 and 3,507.75 is: 8,190.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.25 : 3,507.75 = 3,507.75 : x
  2. Step 2: Convert to fraction form
    1,502.25/3,507.75 = 3,507.75/x
  3. Step 3: Cross multiply
    1,502.25x = 3,507.75 × 3,507.75
  4. Step 4: Simplify right side
    1,502.25x = 12,304,310.06
  5. Step 5: Solve for x
    x = 12,304,310.06/1,502.25
  6. Step 6: Final answer
    x = 8,190.59

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.