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Finding the Third Proportional to 5,034.50 and 10,087

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Solution

The third proportional to 5,034.50 and 10,087 is: 20,210.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,034.50 : 10,087 = 10,087 : x
  2. Step 2: Convert to fraction form
    5,034.50/10,087 = 10,087/x
  3. Step 3: Cross multiply
    5,034.50x = 10,087 × 10,087
  4. Step 4: Simplify right side
    5,034.50x = 101,747,569
  5. Step 5: Solve for x
    x = 101,747,569/5,034.50
  6. Step 6: Final answer
    x = 20,210.06

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.