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Finding the Third Proportional to 36,681 and 54,999

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Solution

The third proportional to 36,681 and 54,999 is: 82,464.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,681 : 54,999 = 54,999 : x
  2. Step 2: Convert to fraction form
    36,681/54,999 = 54,999/x
  3. Step 3: Cross multiply
    36,681x = 54,999 × 54,999
  4. Step 4: Simplify right side
    36,681x = 3,024,890,001
  5. Step 5: Solve for x
    x = 3,024,890,001/36,681
  6. Step 6: Final answer
    x = 82,464.76

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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.