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Finding the Third Proportional to 36,067.50 and 77,463

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Solution

The third proportional to 36,067.50 and 77,463 is: 166,369.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,067.50 : 77,463 = 77,463 : x
  2. Step 2: Convert to fraction form
    36,067.50/77,463 = 77,463/x
  3. Step 3: Cross multiply
    36,067.50x = 77,463 × 77,463
  4. Step 4: Simplify right side
    36,067.50x = 6,000,516,369
  5. Step 5: Solve for x
    x = 6,000,516,369/36,067.50
  6. Step 6: Final answer
    x = 166,369.07

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.