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Finding the Third Proportional to 10,886.06 and 16,286.91

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Solution

The third proportional to 10,886.06 and 16,286.91 is: 24,367.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,886.06 : 16,286.91 = 16,286.91 : x
  2. Step 2: Convert to fraction form
    10,886.06/16,286.91 = 16,286.91/x
  3. Step 3: Cross multiply
    10,886.06x = 16,286.91 × 16,286.91
  4. Step 4: Simplify right side
    10,886.06x = 265,263,315.20
  5. Step 5: Solve for x
    x = 265,263,315.20/10,886.06
  6. Step 6: Final answer
    x = 24,367.24

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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.