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Finding the Third Proportional to 11,086.88 and 23,950.69

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Solution

The third proportional to 11,086.88 and 23,950.69 is: 51,740.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,086.88 : 23,950.69 = 23,950.69 : x
  2. Step 2: Convert to fraction form
    11,086.88/23,950.69 = 23,950.69/x
  3. Step 3: Cross multiply
    11,086.88x = 23,950.69 × 23,950.69
  4. Step 4: Simplify right side
    11,086.88x = 573,635,431.72
  5. Step 5: Solve for x
    x = 573,635,431.72/11,086.88
  6. Step 6: Final answer
    x = 51,740.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.