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Finding the Third Proportional to 33,894 and 48,420

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Solution

The third proportional to 33,894 and 48,420 is: 69,171.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,894 : 48,420 = 48,420 : x
  2. Step 2: Convert to fraction form
    33,894/48,420 = 48,420/x
  3. Step 3: Cross multiply
    33,894x = 48,420 × 48,420
  4. Step 4: Simplify right side
    33,894x = 2,344,496,400
  5. Step 5: Solve for x
    x = 2,344,496,400/33,894
  6. Step 6: Final answer
    x = 69,171.43

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.