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Finding the Third Proportional to 36,602 and 54,739

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Solution

The third proportional to 36,602 and 54,739 is: 81,863.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,602 : 54,739 = 54,739 : x
  2. Step 2: Convert to fraction form
    36,602/54,739 = 54,739/x
  3. Step 3: Cross multiply
    36,602x = 54,739 × 54,739
  4. Step 4: Simplify right side
    36,602x = 2,996,358,121
  5. Step 5: Solve for x
    x = 2,996,358,121/36,602
  6. Step 6: Final answer
    x = 81,863.23

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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.