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Finding the Third Proportional to 5,110.31 and 11,027.06

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Solution

The third proportional to 5,110.31 and 11,027.06 is: 23,794.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,110.31 : 11,027.06 = 11,027.06 : x
  2. Step 2: Convert to fraction form
    5,110.31/11,027.06 = 11,027.06/x
  3. Step 3: Cross multiply
    5,110.31x = 11,027.06 × 11,027.06
  4. Step 4: Simplify right side
    5,110.31x = 121,596,107.38
  5. Step 5: Solve for x
    x = 121,596,107.38/5,110.31
  6. Step 6: Final answer
    x = 23,794.26

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.