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Finding the Third Proportional to 5,519 and 13,016.75

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Solution

The third proportional to 5,519 and 13,016.75 is: 30,700.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,519 : 13,016.75 = 13,016.75 : x
  2. Step 2: Convert to fraction form
    5,519/13,016.75 = 13,016.75/x
  3. Step 3: Cross multiply
    5,519x = 13,016.75 × 13,016.75
  4. Step 4: Simplify right side
    5,519x = 169,435,780.56
  5. Step 5: Solve for x
    x = 169,435,780.56/5,519
  6. Step 6: Final answer
    x = 30,700.45

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.