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Finding the Third Proportional to 1,471.22 and 2,253.80

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Solution

The third proportional to 1,471.22 and 2,253.80 is: 3,452.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.22 : 2,253.80 = 2,253.80 : x
  2. Step 2: Convert to fraction form
    1,471.22/2,253.80 = 2,253.80/x
  3. Step 3: Cross multiply
    1,471.22x = 2,253.80 × 2,253.80
  4. Step 4: Simplify right side
    1,471.22x = 5,079,600.35
  5. Step 5: Solve for x
    x = 5,079,600.35/1,471.22
  6. Step 6: Final answer
    x = 3,452.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.