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Finding the Third Proportional to 33,557 and 68,569

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Solution

The third proportional to 33,557 and 68,569 is: 140,111.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,557 : 68,569 = 68,569 : x
  2. Step 2: Convert to fraction form
    33,557/68,569 = 68,569/x
  3. Step 3: Cross multiply
    33,557x = 68,569 × 68,569
  4. Step 4: Simplify right side
    33,557x = 4,701,707,761
  5. Step 5: Solve for x
    x = 4,701,707,761/33,557
  6. Step 6: Final answer
    x = 140,111.09

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.