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Finding the Third Proportional to 33,581.46 and 45,634.64

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Solution

The third proportional to 33,581.46 and 45,634.64 is: 62,013.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,581.46 : 45,634.64 = 45,634.64 : x
  2. Step 2: Convert to fraction form
    33,581.46/45,634.64 = 45,634.64/x
  3. Step 3: Cross multiply
    33,581.46x = 45,634.64 × 45,634.64
  4. Step 4: Simplify right side
    33,581.46x = 2,082,520,424.97
  5. Step 5: Solve for x
    x = 2,082,520,424.97/33,581.46
  6. Step 6: Final answer
    x = 62,013.99

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.