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Finding the Third Proportional to 6,796.38 and 14,929.25

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Solution

The third proportional to 6,796.38 and 14,929.25 is: 32,794.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,796.38 : 14,929.25 = 14,929.25 : x
  2. Step 2: Convert to fraction form
    6,796.38/14,929.25 = 14,929.25/x
  3. Step 3: Cross multiply
    6,796.38x = 14,929.25 × 14,929.25
  4. Step 4: Simplify right side
    6,796.38x = 222,882,505.56
  5. Step 5: Solve for x
    x = 222,882,505.56/6,796.38
  6. Step 6: Final answer
    x = 32,794.32

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.