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Finding the Third Proportional to 33,968 and 69,448

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Solution

The third proportional to 33,968 and 69,448 is: 141,987.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,968 : 69,448 = 69,448 : x
  2. Step 2: Convert to fraction form
    33,968/69,448 = 69,448/x
  3. Step 3: Cross multiply
    33,968x = 69,448 × 69,448
  4. Step 4: Simplify right side
    33,968x = 4,823,024,704
  5. Step 5: Solve for x
    x = 4,823,024,704/33,968
  6. Step 6: Final answer
    x = 141,987.30

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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.