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Finding the Third Proportional to 32,804 and 71,908

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Solution

The third proportional to 32,804 and 71,908 is: 157,625.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,804 : 71,908 = 71,908 : x
  2. Step 2: Convert to fraction form
    32,804/71,908 = 71,908/x
  3. Step 3: Cross multiply
    32,804x = 71,908 × 71,908
  4. Step 4: Simplify right side
    32,804x = 5,170,760,464
  5. Step 5: Solve for x
    x = 5,170,760,464/32,804
  6. Step 6: Final answer
    x = 157,625.91

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