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Finding the Third Proportional to 40,464.44 and 82,535.19

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Solution

The third proportional to 40,464.44 and 82,535.19 is: 168,346.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,464.44 : 82,535.19 = 82,535.19 : x
  2. Step 2: Convert to fraction form
    40,464.44/82,535.19 = 82,535.19/x
  3. Step 3: Cross multiply
    40,464.44x = 82,535.19 × 82,535.19
  4. Step 4: Simplify right side
    40,464.44x = 6,812,057,175.66
  5. Step 5: Solve for x
    x = 6,812,057,175.66/40,464.44
  6. Step 6: Final answer
    x = 168,346.77

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.