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Finding the Third Proportional to 54,429.38 and 82,464.38

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Solution

The third proportional to 54,429.38 and 82,464.38 is: 124,939.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,429.38 : 82,464.38 = 82,464.38 : x
  2. Step 2: Convert to fraction form
    54,429.38/82,464.38 = 82,464.38/x
  3. Step 3: Cross multiply
    54,429.38x = 82,464.38 × 82,464.38
  4. Step 4: Simplify right side
    54,429.38x = 6,800,373,144.14
  5. Step 5: Solve for x
    x = 6,800,373,144.14/54,429.38
  6. Step 6: Final answer
    x = 124,939.39

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.