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Finding the Third Proportional to 36,604 and 54,742

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Solution

The third proportional to 36,604 and 54,742 is: 81,867.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,604 : 54,742 = 54,742 : x
  2. Step 2: Convert to fraction form
    36,604/54,742 = 54,742/x
  3. Step 3: Cross multiply
    36,604x = 54,742 × 54,742
  4. Step 4: Simplify right side
    36,604x = 2,996,686,564
  5. Step 5: Solve for x
    x = 2,996,686,564/36,604
  6. Step 6: Final answer
    x = 81,867.73

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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.