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Finding the Third Proportional to 36,159.75 and 54,344.25

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Solution

The third proportional to 36,159.75 and 54,344.25 is: 81,673.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,159.75 : 54,344.25 = 54,344.25 : x
  2. Step 2: Convert to fraction form
    36,159.75/54,344.25 = 54,344.25/x
  3. Step 3: Cross multiply
    36,159.75x = 54,344.25 × 54,344.25
  4. Step 4: Simplify right side
    36,159.75x = 2,953,297,508.06
  5. Step 5: Solve for x
    x = 2,953,297,508.06/36,159.75
  6. Step 6: Final answer
    x = 81,673.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.