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Finding the Third Proportional to 6,610.36 and 14,211.70

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Solution

The third proportional to 6,610.36 and 14,211.70 is: 30,553.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,610.36 : 14,211.70 = 14,211.70 : x
  2. Step 2: Convert to fraction form
    6,610.36/14,211.70 = 14,211.70/x
  3. Step 3: Cross multiply
    6,610.36x = 14,211.70 × 14,211.70
  4. Step 4: Simplify right side
    6,610.36x = 201,972,505.71
  5. Step 5: Solve for x
    x = 201,972,505.71/6,610.36
  6. Step 6: Final answer
    x = 30,553.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.