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Finding the Third Proportional to 7,189.31 and 11,046.09

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Solution

The third proportional to 7,189.31 and 11,046.09 is: 16,971.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,189.31 : 11,046.09 = 11,046.09 : x
  2. Step 2: Convert to fraction form
    7,189.31/11,046.09 = 11,046.09/x
  3. Step 3: Cross multiply
    7,189.31x = 11,046.09 × 11,046.09
  4. Step 4: Simplify right side
    7,189.31x = 122,016,187.13
  5. Step 5: Solve for x
    x = 122,016,187.13/7,189.31
  6. Step 6: Final answer
    x = 16,971.89

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.