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Finding the Third Proportional to 36,585 and 54,721

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Solution

The third proportional to 36,585 and 54,721 is: 81,847.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,585 : 54,721 = 54,721 : x
  2. Step 2: Convert to fraction form
    36,585/54,721 = 54,721/x
  3. Step 3: Cross multiply
    36,585x = 54,721 × 54,721
  4. Step 4: Simplify right side
    36,585x = 2,994,387,841
  5. Step 5: Solve for x
    x = 2,994,387,841/36,585
  6. Step 6: Final answer
    x = 81,847.42

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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.