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Finding the Third Proportional to 33,665.25 and 49,847.25

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Solution

The third proportional to 33,665.25 and 49,847.25 is: 73,807.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,665.25 : 49,847.25 = 49,847.25 : x
  2. Step 2: Convert to fraction form
    33,665.25/49,847.25 = 49,847.25/x
  3. Step 3: Cross multiply
    33,665.25x = 49,847.25 × 49,847.25
  4. Step 4: Simplify right side
    33,665.25x = 2,484,748,332.56
  5. Step 5: Solve for x
    x = 2,484,748,332.56/33,665.25
  6. Step 6: Final answer
    x = 73,807.51

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.