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Finding the Third Proportional to 6,822.75 and 14,076.75

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Solution

The third proportional to 6,822.75 and 14,076.75 is: 29,043.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,822.75 : 14,076.75 = 14,076.75 : x
  2. Step 2: Convert to fraction form
    6,822.75/14,076.75 = 14,076.75/x
  3. Step 3: Cross multiply
    6,822.75x = 14,076.75 × 14,076.75
  4. Step 4: Simplify right side
    6,822.75x = 198,154,890.56
  5. Step 5: Solve for x
    x = 198,154,890.56/6,822.75
  6. Step 6: Final answer
    x = 29,043.26

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.