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Finding the Third Proportional to 2,228.25 and 4,743.25

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Solution

The third proportional to 2,228.25 and 4,743.25 is: 10,096.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,228.25 : 4,743.25 = 4,743.25 : x
  2. Step 2: Convert to fraction form
    2,228.25/4,743.25 = 4,743.25/x
  3. Step 3: Cross multiply
    2,228.25x = 4,743.25 × 4,743.25
  4. Step 4: Simplify right side
    2,228.25x = 22,498,420.56
  5. Step 5: Solve for x
    x = 22,498,420.56/2,228.25
  6. Step 6: Final answer
    x = 10,096.90

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.