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Finding the Third Proportional to 30,908.46 and 33,734.05

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Solution

The third proportional to 30,908.46 and 33,734.05 is: 36,817.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,908.46 : 33,734.05 = 33,734.05 : x
  2. Step 2: Convert to fraction form
    30,908.46/33,734.05 = 33,734.05/x
  3. Step 3: Cross multiply
    30,908.46x = 33,734.05 × 33,734.05
  4. Step 4: Simplify right side
    30,908.46x = 1,137,985,984.45
  5. Step 5: Solve for x
    x = 1,137,985,984.45/30,908.46
  6. Step 6: Final answer
    x = 36,817.94

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These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.