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Finding the Third Proportional to 5,237.91 and 11,081.30

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Solution

The third proportional to 5,237.91 and 11,081.30 is: 23,443.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,237.91 : 11,081.30 = 11,081.30 : x
  2. Step 2: Convert to fraction form
    5,237.91/11,081.30 = 11,081.30/x
  3. Step 3: Cross multiply
    5,237.91x = 11,081.30 × 11,081.30
  4. Step 4: Simplify right side
    5,237.91x = 122,795,172.90
  5. Step 5: Solve for x
    x = 122,795,172.90/5,237.91
  6. Step 6: Final answer
    x = 23,443.55

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.