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Finding the Third Proportional to 1,039.22 and 1,524.66

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Solution

The third proportional to 1,039.22 and 1,524.66 is: 2,236.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.22 : 1,524.66 = 1,524.66 : x
  2. Step 2: Convert to fraction form
    1,039.22/1,524.66 = 1,524.66/x
  3. Step 3: Cross multiply
    1,039.22x = 1,524.66 × 1,524.66
  4. Step 4: Simplify right side
    1,039.22x = 2,324,576.68
  5. Step 5: Solve for x
    x = 2,324,576.68/1,039.22
  6. Step 6: Final answer
    x = 2,236.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.