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Finding the Third Proportional to 27,714 and 67,093

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Solution

The third proportional to 27,714 and 67,093 is: 162,425.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,714 : 67,093 = 67,093 : x
  2. Step 2: Convert to fraction form
    27,714/67,093 = 67,093/x
  3. Step 3: Cross multiply
    27,714x = 67,093 × 67,093
  4. Step 4: Simplify right side
    27,714x = 4,501,470,649
  5. Step 5: Solve for x
    x = 4,501,470,649/27,714
  6. Step 6: Final answer
    x = 162,425.87

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.