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Finding the Third Proportional to 11,972.81 and 26,299.69

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Solution

The third proportional to 11,972.81 and 26,299.69 is: 57,770.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,972.81 : 26,299.69 = 26,299.69 : x
  2. Step 2: Convert to fraction form
    11,972.81/26,299.69 = 26,299.69/x
  3. Step 3: Cross multiply
    11,972.81x = 26,299.69 × 26,299.69
  4. Step 4: Simplify right side
    11,972.81x = 691,673,562.60
  5. Step 5: Solve for x
    x = 691,673,562.60/11,972.81
  6. Step 6: Final answer
    x = 57,770.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.