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Finding the Third Proportional to 35,727.75 and 49,035.38

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Solution

The third proportional to 35,727.75 and 49,035.38 is: 67,299.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,727.75 : 49,035.38 = 49,035.38 : x
  2. Step 2: Convert to fraction form
    35,727.75/49,035.38 = 49,035.38/x
  3. Step 3: Cross multiply
    35,727.75x = 49,035.38 × 49,035.38
  4. Step 4: Simplify right side
    35,727.75x = 2,404,468,001.39
  5. Step 5: Solve for x
    x = 2,404,468,001.39/35,727.75
  6. Step 6: Final answer
    x = 67,299.73

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.