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Finding the Third Proportional to 5,151.09 and 11,095.73

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Solution

The third proportional to 5,151.09 and 11,095.73 is: 23,900.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,151.09 : 11,095.73 = 11,095.73 : x
  2. Step 2: Convert to fraction form
    5,151.09/11,095.73 = 11,095.73/x
  3. Step 3: Cross multiply
    5,151.09x = 11,095.73 × 11,095.73
  4. Step 4: Simplify right side
    5,151.09x = 123,115,321.32
  5. Step 5: Solve for x
    x = 123,115,321.32/5,151.09
  6. Step 6: Final answer
    x = 23,900.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.