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Finding the Third Proportional to 2,110.22 and 3,153.52

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Solution

The third proportional to 2,110.22 and 3,153.52 is: 4,712.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110.22 : 3,153.52 = 3,153.52 : x
  2. Step 2: Convert to fraction form
    2,110.22/3,153.52 = 3,153.52/x
  3. Step 3: Cross multiply
    2,110.22x = 3,153.52 × 3,153.52
  4. Step 4: Simplify right side
    2,110.22x = 9,944,660.80
  5. Step 5: Solve for x
    x = 9,944,660.80/2,110.22
  6. Step 6: Final answer
    x = 4,712.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.