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Finding the Third Proportional to 33,540 and 70,344

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Solution

The third proportional to 33,540 and 70,344 is: 147,533.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,540 : 70,344 = 70,344 : x
  2. Step 2: Convert to fraction form
    33,540/70,344 = 70,344/x
  3. Step 3: Cross multiply
    33,540x = 70,344 × 70,344
  4. Step 4: Simplify right side
    33,540x = 4,948,278,336
  5. Step 5: Solve for x
    x = 4,948,278,336/33,540
  6. Step 6: Final answer
    x = 147,533.64

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Why These Related Problems?

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