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Finding the Third Proportional to 2,113.03 and 4,891.78

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Solution

The third proportional to 2,113.03 and 4,891.78 is: 11,324.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.03 : 4,891.78 = 4,891.78 : x
  2. Step 2: Convert to fraction form
    2,113.03/4,891.78 = 4,891.78/x
  3. Step 3: Cross multiply
    2,113.03x = 4,891.78 × 4,891.78
  4. Step 4: Simplify right side
    2,113.03x = 23,929,523.80
  5. Step 5: Solve for x
    x = 23,929,523.80/2,113.03
  6. Step 6: Final answer
    x = 11,324.74

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.