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Finding the Third Proportional to 38,794 and 56,676

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Solution

The third proportional to 38,794 and 56,676 is: 82,800.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,794 : 56,676 = 56,676 : x
  2. Step 2: Convert to fraction form
    38,794/56,676 = 56,676/x
  3. Step 3: Cross multiply
    38,794x = 56,676 × 56,676
  4. Step 4: Simplify right side
    38,794x = 3,212,168,976
  5. Step 5: Solve for x
    x = 3,212,168,976/38,794
  6. Step 6: Final answer
    x = 82,800.66

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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.