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Finding the Third Proportional to 33,512 and 70,468

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Solution

The third proportional to 33,512 and 70,468 is: 148,177.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,512 : 70,468 = 70,468 : x
  2. Step 2: Convert to fraction form
    33,512/70,468 = 70,468/x
  3. Step 3: Cross multiply
    33,512x = 70,468 × 70,468
  4. Step 4: Simplify right side
    33,512x = 4,965,739,024
  5. Step 5: Solve for x
    x = 4,965,739,024/33,512
  6. Step 6: Final answer
    x = 148,177.94

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.