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Finding the Third Proportional to 5,044.50 and 10,017

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Solution

The third proportional to 5,044.50 and 10,017 is: 19,891.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,044.50 : 10,017 = 10,017 : x
  2. Step 2: Convert to fraction form
    5,044.50/10,017 = 10,017/x
  3. Step 3: Cross multiply
    5,044.50x = 10,017 × 10,017
  4. Step 4: Simplify right side
    5,044.50x = 100,340,289
  5. Step 5: Solve for x
    x = 100,340,289/5,044.50
  6. Step 6: Final answer
    x = 19,891.03

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These problems maintain the same ratio (1.99) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.