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Finding the Third Proportional to 6,991.31 and 16,714.69

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Solution

The third proportional to 6,991.31 and 16,714.69 is: 39,961.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,991.31 : 16,714.69 = 16,714.69 : x
  2. Step 2: Convert to fraction form
    6,991.31/16,714.69 = 16,714.69/x
  3. Step 3: Cross multiply
    6,991.31x = 16,714.69 × 16,714.69
  4. Step 4: Simplify right side
    6,991.31x = 279,380,778.22
  5. Step 5: Solve for x
    x = 279,380,778.22/6,991.31
  6. Step 6: Final answer
    x = 39,961.13

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.