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Finding the Third Proportional to 11,691.75 and 18,112.13

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Solution

The third proportional to 11,691.75 and 18,112.13 is: 28,058.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,691.75 : 18,112.13 = 18,112.13 : x
  2. Step 2: Convert to fraction form
    11,691.75/18,112.13 = 18,112.13/x
  3. Step 3: Cross multiply
    11,691.75x = 18,112.13 × 18,112.13
  4. Step 4: Simplify right side
    11,691.75x = 328,049,072.02
  5. Step 5: Solve for x
    x = 328,049,072.02/11,691.75
  6. Step 6: Final answer
    x = 28,058.17

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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.