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Finding the Third Proportional to 2,224.49 and 4,775.52

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Solution

The third proportional to 2,224.49 and 4,775.52 is: 10,252.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.49 : 4,775.52 = 4,775.52 : x
  2. Step 2: Convert to fraction form
    2,224.49/4,775.52 = 4,775.52/x
  3. Step 3: Cross multiply
    2,224.49x = 4,775.52 × 4,775.52
  4. Step 4: Simplify right side
    2,224.49x = 22,805,586.79
  5. Step 5: Solve for x
    x = 22,805,586.79/2,224.49
  6. Step 6: Final answer
    x = 10,252.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.