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Finding the Third Proportional to 10,885.88 and 16,286.25

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Solution

The third proportional to 10,885.88 and 16,286.25 is: 24,365.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,885.88 : 16,286.25 = 16,286.25 : x
  2. Step 2: Convert to fraction form
    10,885.88/16,286.25 = 16,286.25/x
  3. Step 3: Cross multiply
    10,885.88x = 16,286.25 × 16,286.25
  4. Step 4: Simplify right side
    10,885.88x = 265,241,939.06
  5. Step 5: Solve for x
    x = 265,241,939.06/10,885.88
  6. Step 6: Final answer
    x = 24,365.70

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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.