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Finding the Third Proportional to 5,287.36 and 11,278.41

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Solution

The third proportional to 5,287.36 and 11,278.41 is: 24,057.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,287.36 : 11,278.41 = 11,278.41 : x
  2. Step 2: Convert to fraction form
    5,287.36/11,278.41 = 11,278.41/x
  3. Step 3: Cross multiply
    5,287.36x = 11,278.41 × 11,278.41
  4. Step 4: Simplify right side
    5,287.36x = 127,202,447.54
  5. Step 5: Solve for x
    x = 127,202,447.54/5,287.36
  6. Step 6: Final answer
    x = 24,057.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.