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Finding the Third Proportional to 36,665 and 54,987

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Solution

The third proportional to 36,665 and 54,987 is: 82,464.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,665 : 54,987 = 54,987 : x
  2. Step 2: Convert to fraction form
    36,665/54,987 = 54,987/x
  3. Step 3: Cross multiply
    36,665x = 54,987 × 54,987
  4. Step 4: Simplify right side
    36,665x = 3,023,570,169
  5. Step 5: Solve for x
    x = 3,023,570,169/36,665
  6. Step 6: Final answer
    x = 82,464.75

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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.