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Finding the Third Proportional to 33,540 and 48,942

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Solution

The third proportional to 33,540 and 48,942 is: 71,416.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,540 : 48,942 = 48,942 : x
  2. Step 2: Convert to fraction form
    33,540/48,942 = 48,942/x
  3. Step 3: Cross multiply
    33,540x = 48,942 × 48,942
  4. Step 4: Simplify right side
    33,540x = 2,395,319,364
  5. Step 5: Solve for x
    x = 2,395,319,364/33,540
  6. Step 6: Final answer
    x = 71,416.80

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.