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Finding the Third Proportional to 34,714 and 75,847

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Solution

The third proportional to 34,714 and 75,847 is: 165,718.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,714 : 75,847 = 75,847 : x
  2. Step 2: Convert to fraction form
    34,714/75,847 = 75,847/x
  3. Step 3: Cross multiply
    34,714x = 75,847 × 75,847
  4. Step 4: Simplify right side
    34,714x = 5,752,767,409
  5. Step 5: Solve for x
    x = 5,752,767,409/34,714
  6. Step 6: Final answer
    x = 165,718.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.