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Finding the Third Proportional to 12,294.28 and 18,394.59

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Solution

The third proportional to 12,294.28 and 18,394.59 is: 27,521.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,294.28 : 18,394.59 = 18,394.59 : x
  2. Step 2: Convert to fraction form
    12,294.28/18,394.59 = 18,394.59/x
  3. Step 3: Cross multiply
    12,294.28x = 18,394.59 × 18,394.59
  4. Step 4: Simplify right side
    12,294.28x = 338,361,079.23
  5. Step 5: Solve for x
    x = 338,361,079.23/12,294.28
  6. Step 6: Final answer
    x = 27,521.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.