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Finding the Third Proportional to 38,634.47 and 80,228.60

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Solution

The third proportional to 38,634.47 and 80,228.60 is: 166,603.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,634.47 : 80,228.60 = 80,228.60 : x
  2. Step 2: Convert to fraction form
    38,634.47/80,228.60 = 80,228.60/x
  3. Step 3: Cross multiply
    38,634.47x = 80,228.60 × 80,228.60
  4. Step 4: Simplify right side
    38,634.47x = 6,436,628,508.67
  5. Step 5: Solve for x
    x = 6,436,628,508.67/38,634.47
  6. Step 6: Final answer
    x = 166,603.26

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.