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Finding the Third Proportional to 36,399.38 and 77,137.31

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Solution

The third proportional to 36,399.38 and 77,137.31 is: 163,468.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,399.38 : 77,137.31 = 77,137.31 : x
  2. Step 2: Convert to fraction form
    36,399.38/77,137.31 = 77,137.31/x
  3. Step 3: Cross multiply
    36,399.38x = 77,137.31 × 77,137.31
  4. Step 4: Simplify right side
    36,399.38x = 5,950,164,979.72
  5. Step 5: Solve for x
    x = 5,950,164,979.72/36,399.38
  6. Step 6: Final answer
    x = 163,468.88

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.