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Finding the Third Proportional to 33,914.25 and 49,856.63

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Solution

The third proportional to 33,914.25 and 49,856.63 is: 73,293.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,914.25 : 49,856.63 = 49,856.63 : x
  2. Step 2: Convert to fraction form
    33,914.25/49,856.63 = 49,856.63/x
  3. Step 3: Cross multiply
    33,914.25x = 49,856.63 × 49,856.63
  4. Step 4: Simplify right side
    33,914.25x = 2,485,683,056.39
  5. Step 5: Solve for x
    x = 2,485,683,056.39/33,914.25
  6. Step 6: Final answer
    x = 73,293.17

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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.