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Finding the Third Proportional to 33,448 and 69,650

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Solution

The third proportional to 33,448 and 69,650 is: 145,034.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,448 : 69,650 = 69,650 : x
  2. Step 2: Convert to fraction form
    33,448/69,650 = 69,650/x
  3. Step 3: Cross multiply
    33,448x = 69,650 × 69,650
  4. Step 4: Simplify right side
    33,448x = 4,851,122,500
  5. Step 5: Solve for x
    x = 4,851,122,500/33,448
  6. Step 6: Final answer
    x = 145,034.76

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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.