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Finding the Third Proportional to 5,111.54 and 11,290.96

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Solution

The third proportional to 5,111.54 and 11,290.96 is: 24,940.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,111.54 : 11,290.96 = 11,290.96 : x
  2. Step 2: Convert to fraction form
    5,111.54/11,290.96 = 11,290.96/x
  3. Step 3: Cross multiply
    5,111.54x = 11,290.96 × 11,290.96
  4. Step 4: Simplify right side
    5,111.54x = 127,485,710.68
  5. Step 5: Solve for x
    x = 127,485,710.68/5,111.54
  6. Step 6: Final answer
    x = 24,940.75

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.