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Finding the Third Proportional to 18,569.25 and 27,853.88

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Solution

The third proportional to 18,569.25 and 27,853.88 is: 41,780.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,569.25 : 27,853.88 = 27,853.88 : x
  2. Step 2: Convert to fraction form
    18,569.25/27,853.88 = 27,853.88/x
  3. Step 3: Cross multiply
    18,569.25x = 27,853.88 × 27,853.88
  4. Step 4: Simplify right side
    18,569.25x = 775,838,352.52
  5. Step 5: Solve for x
    x = 775,838,352.52/18,569.25
  6. Step 6: Final answer
    x = 41,780.81

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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.