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Finding the Third Proportional to 11,701.97 and 18,851.06

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Solution

The third proportional to 11,701.97 and 18,851.06 is: 30,367.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,701.97 : 18,851.06 = 18,851.06 : x
  2. Step 2: Convert to fraction form
    11,701.97/18,851.06 = 18,851.06/x
  3. Step 3: Cross multiply
    11,701.97x = 18,851.06 × 18,851.06
  4. Step 4: Simplify right side
    11,701.97x = 355,362,557.38
  5. Step 5: Solve for x
    x = 355,362,557.38/11,701.97
  6. Step 6: Final answer
    x = 30,367.76

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.