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Finding the Third Proportional to 2,230.31 and 4,769.44

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Solution

The third proportional to 2,230.31 and 4,769.44 is: 10,199.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230.31 : 4,769.44 = 4,769.44 : x
  2. Step 2: Convert to fraction form
    2,230.31/4,769.44 = 4,769.44/x
  3. Step 3: Cross multiply
    2,230.31x = 4,769.44 × 4,769.44
  4. Step 4: Simplify right side
    2,230.31x = 22,747,534.07
  5. Step 5: Solve for x
    x = 22,747,534.07/2,230.31
  6. Step 6: Final answer
    x = 10,199.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.