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Finding the Third Proportional to 32,779 and 71,876

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Solution

The third proportional to 32,779 and 71,876 is: 157,605.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,779 : 71,876 = 71,876 : x
  2. Step 2: Convert to fraction form
    32,779/71,876 = 71,876/x
  3. Step 3: Cross multiply
    32,779x = 71,876 × 71,876
  4. Step 4: Simplify right side
    32,779x = 5,166,159,376
  5. Step 5: Solve for x
    x = 5,166,159,376/32,779
  6. Step 6: Final answer
    x = 157,605.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.