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Finding the Third Proportional to 872.44 and 1,352.53

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Solution

The third proportional to 872.44 and 1,352.53 is: 2,096.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.44 : 1,352.53 = 1,352.53 : x
  2. Step 2: Convert to fraction form
    872.44/1,352.53 = 1,352.53/x
  3. Step 3: Cross multiply
    872.44x = 1,352.53 × 1,352.53
  4. Step 4: Simplify right side
    872.44x = 1,829,340.78
  5. Step 5: Solve for x
    x = 1,829,340.78/872.44
  6. Step 6: Final answer
    x = 2,096.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.