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Finding the Third Proportional to 6,839.44 and 9,127.69

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Solution

The third proportional to 6,839.44 and 9,127.69 is: 12,181.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,839.44 : 9,127.69 = 9,127.69 : x
  2. Step 2: Convert to fraction form
    6,839.44/9,127.69 = 9,127.69/x
  3. Step 3: Cross multiply
    6,839.44x = 9,127.69 × 9,127.69
  4. Step 4: Simplify right side
    6,839.44x = 83,314,679.10
  5. Step 5: Solve for x
    x = 83,314,679.10/6,839.44
  6. Step 6: Final answer
    x = 12,181.51

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.