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Finding the Third Proportional to 6,814.13 and 11,967.75

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Solution

The third proportional to 6,814.13 and 11,967.75 is: 21,019.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814.13 : 11,967.75 = 11,967.75 : x
  2. Step 2: Convert to fraction form
    6,814.13/11,967.75 = 11,967.75/x
  3. Step 3: Cross multiply
    6,814.13x = 11,967.75 × 11,967.75
  4. Step 4: Simplify right side
    6,814.13x = 143,227,040.06
  5. Step 5: Solve for x
    x = 143,227,040.06/6,814.13
  6. Step 6: Final answer
    x = 21,019.14

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.