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Finding the Third Proportional to 11,287.69 and 24,361.31

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Solution

The third proportional to 11,287.69 and 24,361.31 is: 52,577.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,287.69 : 24,361.31 = 24,361.31 : x
  2. Step 2: Convert to fraction form
    11,287.69/24,361.31 = 24,361.31/x
  3. Step 3: Cross multiply
    11,287.69x = 24,361.31 × 24,361.31
  4. Step 4: Simplify right side
    11,287.69x = 593,473,546.72
  5. Step 5: Solve for x
    x = 593,473,546.72/11,287.69
  6. Step 6: Final answer
    x = 52,577.07

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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.