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Finding the Third Proportional to 5,096.67 and 11,822.20

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Solution

The third proportional to 5,096.67 and 11,822.20 is: 27,422.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,096.67 : 11,822.20 = 11,822.20 : x
  2. Step 2: Convert to fraction form
    5,096.67/11,822.20 = 11,822.20/x
  3. Step 3: Cross multiply
    5,096.67x = 11,822.20 × 11,822.20
  4. Step 4: Simplify right side
    5,096.67x = 139,764,486.73
  5. Step 5: Solve for x
    x = 139,764,486.73/5,096.67
  6. Step 6: Final answer
    x = 27,422.70

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.