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Finding the Third Proportional to 11,891.81 and 29,433.38

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Solution

The third proportional to 11,891.81 and 29,433.38 is: 72,850.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,891.81 : 29,433.38 = 29,433.38 : x
  2. Step 2: Convert to fraction form
    11,891.81/29,433.38 = 29,433.38/x
  3. Step 3: Cross multiply
    11,891.81x = 29,433.38 × 29,433.38
  4. Step 4: Simplify right side
    11,891.81x = 866,323,563.89
  5. Step 5: Solve for x
    x = 866,323,563.89/11,891.81
  6. Step 6: Final answer
    x = 72,850.42

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Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.