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Finding the Third Proportional to 33,664 and 52,124

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Solution

The third proportional to 33,664 and 52,124 is: 80,706.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,664 : 52,124 = 52,124 : x
  2. Step 2: Convert to fraction form
    33,664/52,124 = 52,124/x
  3. Step 3: Cross multiply
    33,664x = 52,124 × 52,124
  4. Step 4: Simplify right side
    33,664x = 2,716,911,376
  5. Step 5: Solve for x
    x = 2,716,911,376/33,664
  6. Step 6: Final answer
    x = 80,706.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.