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Finding the Third Proportional to 38,208 and 52,794

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Solution

The third proportional to 38,208 and 52,794 is: 72,948.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,208 : 52,794 = 52,794 : x
  2. Step 2: Convert to fraction form
    38,208/52,794 = 52,794/x
  3. Step 3: Cross multiply
    38,208x = 52,794 × 52,794
  4. Step 4: Simplify right side
    38,208x = 2,787,206,436
  5. Step 5: Solve for x
    x = 2,787,206,436/38,208
  6. Step 6: Final answer
    x = 72,948.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.