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Finding the Third Proportional to 8,327.81 and 18,394.59

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Solution

The third proportional to 8,327.81 and 18,394.59 is: 40,630.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,327.81 : 18,394.59 = 18,394.59 : x
  2. Step 2: Convert to fraction form
    8,327.81/18,394.59 = 18,394.59/x
  3. Step 3: Cross multiply
    8,327.81x = 18,394.59 × 18,394.59
  4. Step 4: Simplify right side
    8,327.81x = 338,361,079.23
  5. Step 5: Solve for x
    x = 338,361,079.23/8,327.81
  6. Step 6: Final answer
    x = 40,630.25

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.