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Finding the Third Proportional to 824.55 and 1,671.26

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Solution

The third proportional to 824.55 and 1,671.26 is: 3,387.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.55 : 1,671.26 = 1,671.26 : x
  2. Step 2: Convert to fraction form
    824.55/1,671.26 = 1,671.26/x
  3. Step 3: Cross multiply
    824.55x = 1,671.26 × 1,671.26
  4. Step 4: Simplify right side
    824.55x = 2,793,102.68
  5. Step 5: Solve for x
    x = 2,793,102.68/824.55
  6. Step 6: Final answer
    x = 3,387.41

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.