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Finding the Third Proportional to 33,994.50 and 72,906

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Solution

The third proportional to 33,994.50 and 72,906 is: 156,357.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,994.50 : 72,906 = 72,906 : x
  2. Step 2: Convert to fraction form
    33,994.50/72,906 = 72,906/x
  3. Step 3: Cross multiply
    33,994.50x = 72,906 × 72,906
  4. Step 4: Simplify right side
    33,994.50x = 5,315,284,836
  5. Step 5: Solve for x
    x = 5,315,284,836/33,994.50
  6. Step 6: Final answer
    x = 156,357.20

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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.