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Finding the Third Proportional to 33,522.75 and 49,358.25

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Solution

The third proportional to 33,522.75 and 49,358.25 is: 72,674.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,522.75 : 49,358.25 = 49,358.25 : x
  2. Step 2: Convert to fraction form
    33,522.75/49,358.25 = 49,358.25/x
  3. Step 3: Cross multiply
    33,522.75x = 49,358.25 × 49,358.25
  4. Step 4: Simplify right side
    33,522.75x = 2,436,236,843.06
  5. Step 5: Solve for x
    x = 2,436,236,843.06/33,522.75
  6. Step 6: Final answer
    x = 72,674.13

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.