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Finding the Third Proportional to 33,865 and 73,298

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Solution

The third proportional to 33,865 and 73,298 is: 158,647.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,865 : 73,298 = 73,298 : x
  2. Step 2: Convert to fraction form
    33,865/73,298 = 73,298/x
  3. Step 3: Cross multiply
    33,865x = 73,298 × 73,298
  4. Step 4: Simplify right side
    33,865x = 5,372,596,804
  5. Step 5: Solve for x
    x = 5,372,596,804/33,865
  6. Step 6: Final answer
    x = 158,647.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.