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Finding the Third Proportional to 11,886.56 and 16,616.91

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Solution

The third proportional to 11,886.56 and 16,616.91 is: 23,229.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,886.56 : 16,616.91 = 16,616.91 : x
  2. Step 2: Convert to fraction form
    11,886.56/16,616.91 = 16,616.91/x
  3. Step 3: Cross multiply
    11,886.56x = 16,616.91 × 16,616.91
  4. Step 4: Simplify right side
    11,886.56x = 276,121,573.32
  5. Step 5: Solve for x
    x = 276,121,573.32/11,886.56
  6. Step 6: Final answer
    x = 23,229.72

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.