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Finding the Third Proportional to 36,866 and 56,698

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Solution

The third proportional to 36,866 and 56,698 is: 87,198.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,866 : 56,698 = 56,698 : x
  2. Step 2: Convert to fraction form
    36,866/56,698 = 56,698/x
  3. Step 3: Cross multiply
    36,866x = 56,698 × 56,698
  4. Step 4: Simplify right side
    36,866x = 3,214,663,204
  5. Step 5: Solve for x
    x = 3,214,663,204/36,866
  6. Step 6: Final answer
    x = 87,198.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.