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Finding the Third Proportional to 33,985 and 72,891

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Solution

The third proportional to 33,985 and 72,891 is: 156,336.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,985 : 72,891 = 72,891 : x
  2. Step 2: Convert to fraction form
    33,985/72,891 = 72,891/x
  3. Step 3: Cross multiply
    33,985x = 72,891 × 72,891
  4. Step 4: Simplify right side
    33,985x = 5,313,097,881
  5. Step 5: Solve for x
    x = 5,313,097,881/33,985
  6. Step 6: Final answer
    x = 156,336.56

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.