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Finding the Third Proportional to 6,796.13 and 9,933.75

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Solution

The third proportional to 6,796.13 and 9,933.75 is: 14,519.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,796.13 : 9,933.75 = 9,933.75 : x
  2. Step 2: Convert to fraction form
    6,796.13/9,933.75 = 9,933.75/x
  3. Step 3: Cross multiply
    6,796.13x = 9,933.75 × 9,933.75
  4. Step 4: Simplify right side
    6,796.13x = 98,679,389.06
  5. Step 5: Solve for x
    x = 98,679,389.06/6,796.13
  6. Step 6: Final answer
    x = 14,519.95

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.