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Finding the Third Proportional to 34,661.25 and 80,871.75

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Solution

The third proportional to 34,661.25 and 80,871.75 is: 188,690.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,661.25 : 80,871.75 = 80,871.75 : x
  2. Step 2: Convert to fraction form
    34,661.25/80,871.75 = 80,871.75/x
  3. Step 3: Cross multiply
    34,661.25x = 80,871.75 × 80,871.75
  4. Step 4: Simplify right side
    34,661.25x = 6,540,239,948.06
  5. Step 5: Solve for x
    x = 6,540,239,948.06/34,661.25
  6. Step 6: Final answer
    x = 188,690.25

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.