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Finding the Third Proportional to 27,714 and 52,875

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Solution

The third proportional to 27,714 and 52,875 is: 100,879.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,714 : 52,875 = 52,875 : x
  2. Step 2: Convert to fraction form
    27,714/52,875 = 52,875/x
  3. Step 3: Cross multiply
    27,714x = 52,875 × 52,875
  4. Step 4: Simplify right side
    27,714x = 2,795,765,625
  5. Step 5: Solve for x
    x = 2,795,765,625/27,714
  6. Step 6: Final answer
    x = 100,879.18

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.