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Finding the Third Proportional to 6,984.56 and 9,266.06

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Solution

The third proportional to 6,984.56 and 9,266.06 is: 12,292.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,984.56 : 9,266.06 = 9,266.06 : x
  2. Step 2: Convert to fraction form
    6,984.56/9,266.06 = 9,266.06/x
  3. Step 3: Cross multiply
    6,984.56x = 9,266.06 × 9,266.06
  4. Step 4: Simplify right side
    6,984.56x = 85,859,914.25
  5. Step 5: Solve for x
    x = 85,859,914.25/6,984.56
  6. Step 6: Final answer
    x = 12,292.81

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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.