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Finding the Third Proportional to 33,466.50 and 44,616.75

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Solution

The third proportional to 33,466.50 and 44,616.75 is: 59,482.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,466.50 : 44,616.75 = 44,616.75 : x
  2. Step 2: Convert to fraction form
    33,466.50/44,616.75 = 44,616.75/x
  3. Step 3: Cross multiply
    33,466.50x = 44,616.75 × 44,616.75
  4. Step 4: Simplify right side
    33,466.50x = 1,990,654,380.56
  5. Step 5: Solve for x
    x = 1,990,654,380.56/33,466.50
  6. Step 6: Final answer
    x = 59,482.00

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.