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Finding the Third Proportional to 2,225.44 and 4,894.88

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Solution

The third proportional to 2,225.44 and 4,894.88 is: 10,766.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,225.44 : 4,894.88 = 4,894.88 : x
  2. Step 2: Convert to fraction form
    2,225.44/4,894.88 = 4,894.88/x
  3. Step 3: Cross multiply
    2,225.44x = 4,894.88 × 4,894.88
  4. Step 4: Simplify right side
    2,225.44x = 23,959,801.27
  5. Step 5: Solve for x
    x = 23,959,801.27/2,225.44
  6. Step 6: Final answer
    x = 10,766.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.