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Finding the Third Proportional to 36,708 and 55,143

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Solution

The third proportional to 36,708 and 55,143 is: 82,836.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,708 : 55,143 = 55,143 : x
  2. Step 2: Convert to fraction form
    36,708/55,143 = 55,143/x
  3. Step 3: Cross multiply
    36,708x = 55,143 × 55,143
  4. Step 4: Simplify right side
    36,708x = 3,040,750,449
  5. Step 5: Solve for x
    x = 3,040,750,449/36,708
  6. Step 6: Final answer
    x = 82,836.18

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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.