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Finding the Third Proportional to 33,243 and 71,913

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Solution

The third proportional to 33,243 and 71,913 is: 155,565.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,243 : 71,913 = 71,913 : x
  2. Step 2: Convert to fraction form
    33,243/71,913 = 71,913/x
  3. Step 3: Cross multiply
    33,243x = 71,913 × 71,913
  4. Step 4: Simplify right side
    33,243x = 5,171,479,569
  5. Step 5: Solve for x
    x = 5,171,479,569/33,243
  6. Step 6: Final answer
    x = 155,565.97

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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.