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Finding the Third Proportional to 36,182.25 and 56,589.75

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Solution

The third proportional to 36,182.25 and 56,589.75 is: 88,507.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,182.25 : 56,589.75 = 56,589.75 : x
  2. Step 2: Convert to fraction form
    36,182.25/56,589.75 = 56,589.75/x
  3. Step 3: Cross multiply
    36,182.25x = 56,589.75 × 56,589.75
  4. Step 4: Simplify right side
    36,182.25x = 3,202,399,805.06
  5. Step 5: Solve for x
    x = 3,202,399,805.06/36,182.25
  6. Step 6: Final answer
    x = 88,507.48

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.