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Finding the Third Proportional to 11,691.75 and 18,152.25

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Solution

The third proportional to 11,691.75 and 18,152.25 is: 28,182.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,691.75 : 18,152.25 = 18,152.25 : x
  2. Step 2: Convert to fraction form
    11,691.75/18,152.25 = 18,152.25/x
  3. Step 3: Cross multiply
    11,691.75x = 18,152.25 × 18,152.25
  4. Step 4: Simplify right side
    11,691.75x = 329,504,180.06
  5. Step 5: Solve for x
    x = 329,504,180.06/11,691.75
  6. Step 6: Final answer
    x = 28,182.62

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.