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Finding the Third Proportional to 2,112.33 and 3,218.48

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Solution

The third proportional to 2,112.33 and 3,218.48 is: 4,903.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.33 : 3,218.48 = 3,218.48 : x
  2. Step 2: Convert to fraction form
    2,112.33/3,218.48 = 3,218.48/x
  3. Step 3: Cross multiply
    2,112.33x = 3,218.48 × 3,218.48
  4. Step 4: Simplify right side
    2,112.33x = 10,358,641.67
  5. Step 5: Solve for x
    x = 10,358,641.67/2,112.33
  6. Step 6: Final answer
    x = 4,903.90

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.