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Finding the Third Proportional to 33,531 and 69,816

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Solution

The third proportional to 33,531 and 69,816 is: 145,366.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,531 : 69,816 = 69,816 : x
  2. Step 2: Convert to fraction form
    33,531/69,816 = 69,816/x
  3. Step 3: Cross multiply
    33,531x = 69,816 × 69,816
  4. Step 4: Simplify right side
    33,531x = 4,874,273,856
  5. Step 5: Solve for x
    x = 4,874,273,856/33,531
  6. Step 6: Final answer
    x = 145,366.19

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.