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Finding the Third Proportional to 33,938 and 73,900

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Solution

The third proportional to 33,938 and 73,900 is: 160,917.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,938 : 73,900 = 73,900 : x
  2. Step 2: Convert to fraction form
    33,938/73,900 = 73,900/x
  3. Step 3: Cross multiply
    33,938x = 73,900 × 73,900
  4. Step 4: Simplify right side
    33,938x = 5,461,210,000
  5. Step 5: Solve for x
    x = 5,461,210,000/33,938
  6. Step 6: Final answer
    x = 160,917.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.