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Finding the Third Proportional to 33,645.38 and 49,005

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Solution

The third proportional to 33,645.38 and 49,005 is: 71,376.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,645.38 : 49,005 = 49,005 : x
  2. Step 2: Convert to fraction form
    33,645.38/49,005 = 49,005/x
  3. Step 3: Cross multiply
    33,645.38x = 49,005 × 49,005
  4. Step 4: Simplify right side
    33,645.38x = 2,401,490,025
  5. Step 5: Solve for x
    x = 2,401,490,025/33,645.38
  6. Step 6: Final answer
    x = 71,376.53

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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.