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Finding the Third Proportional to 2,016.50 and 4,721.25

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Solution

The third proportional to 2,016.50 and 4,721.25 is: 11,053.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.50 : 4,721.25 = 4,721.25 : x
  2. Step 2: Convert to fraction form
    2,016.50/4,721.25 = 4,721.25/x
  3. Step 3: Cross multiply
    2,016.50x = 4,721.25 × 4,721.25
  4. Step 4: Simplify right side
    2,016.50x = 22,290,201.56
  5. Step 5: Solve for x
    x = 22,290,201.56/2,016.50
  6. Step 6: Final answer
    x = 11,053.91

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.