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Finding the Third Proportional to 11,016.50 and 16,549.13

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Solution

The third proportional to 11,016.50 and 16,549.13 is: 24,860.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,016.50 : 16,549.13 = 16,549.13 : x
  2. Step 2: Convert to fraction form
    11,016.50/16,549.13 = 16,549.13/x
  3. Step 3: Cross multiply
    11,016.50x = 16,549.13 × 16,549.13
  4. Step 4: Simplify right side
    11,016.50x = 273,873,538.27
  5. Step 5: Solve for x
    x = 273,873,538.27/11,016.50
  6. Step 6: Final answer
    x = 24,860.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.