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Finding the Third Proportional to 34,878 and 52,179.75

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Solution

The third proportional to 34,878 and 52,179.75 is: 78,064.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,878 : 52,179.75 = 52,179.75 : x
  2. Step 2: Convert to fraction form
    34,878/52,179.75 = 52,179.75/x
  3. Step 3: Cross multiply
    34,878x = 52,179.75 × 52,179.75
  4. Step 4: Simplify right side
    34,878x = 2,722,726,310.06
  5. Step 5: Solve for x
    x = 2,722,726,310.06/34,878
  6. Step 6: Final answer
    x = 78,064.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.