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Finding the Third Proportional to 2,207.25 and 4,760.96

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Solution

The third proportional to 2,207.25 and 4,760.96 is: 10,269.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,207.25 : 4,760.96 = 4,760.96 : x
  2. Step 2: Convert to fraction form
    2,207.25/4,760.96 = 4,760.96/x
  3. Step 3: Cross multiply
    2,207.25x = 4,760.96 × 4,760.96
  4. Step 4: Simplify right side
    2,207.25x = 22,666,786.24
  5. Step 5: Solve for x
    x = 22,666,786.24/2,207.25
  6. Step 6: Final answer
    x = 10,269.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.