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Finding the Third Proportional to 6,814.13 and 9,120.09

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Solution

The third proportional to 6,814.13 and 9,120.09 is: 12,206.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814.13 : 9,120.09 = 9,120.09 : x
  2. Step 2: Convert to fraction form
    6,814.13/9,120.09 = 9,120.09/x
  3. Step 3: Cross multiply
    6,814.13x = 9,120.09 × 9,120.09
  4. Step 4: Simplify right side
    6,814.13x = 83,176,110.01
  5. Step 5: Solve for x
    x = 83,176,110.01/6,814.13
  6. Step 6: Final answer
    x = 12,206.43

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.