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Finding the Third Proportional to 2,223.70 and 4,894.80

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Solution

The third proportional to 2,223.70 and 4,894.80 is: 10,774.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,223.70 : 4,894.80 = 4,894.80 : x
  2. Step 2: Convert to fraction form
    2,223.70/4,894.80 = 4,894.80/x
  3. Step 3: Cross multiply
    2,223.70x = 4,894.80 × 4,894.80
  4. Step 4: Simplify right side
    2,223.70x = 23,959,112.93
  5. Step 5: Solve for x
    x = 23,959,112.93/2,223.70
  6. Step 6: Final answer
    x = 10,774.42

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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.