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Finding the Third Proportional to 33,453.84 and 48,924.42

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Solution

The third proportional to 33,453.84 and 48,924.42 is: 71,549.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,453.84 : 48,924.42 = 48,924.42 : x
  2. Step 2: Convert to fraction form
    33,453.84/48,924.42 = 48,924.42/x
  3. Step 3: Cross multiply
    33,453.84x = 48,924.42 × 48,924.42
  4. Step 4: Simplify right side
    33,453.84x = 2,393,599,055.80
  5. Step 5: Solve for x
    x = 2,393,599,055.80/33,453.84
  6. Step 6: Final answer
    x = 71,549.30

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.