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Finding the Third Proportional to 36,105.75 and 54,172.13

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Solution

The third proportional to 36,105.75 and 54,172.13 is: 81,278.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,105.75 : 54,172.13 = 54,172.13 : x
  2. Step 2: Convert to fraction form
    36,105.75/54,172.13 = 54,172.13/x
  3. Step 3: Cross multiply
    36,105.75x = 54,172.13 × 54,172.13
  4. Step 4: Simplify right side
    36,105.75x = 2,934,619,127.02
  5. Step 5: Solve for x
    x = 2,934,619,127.02/36,105.75
  6. Step 6: Final answer
    x = 81,278.44

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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.