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Finding the Third Proportional to 11,891.81 and 17,871.89

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Solution

The third proportional to 11,891.81 and 17,871.89 is: 26,859.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,891.81 : 17,871.89 = 17,871.89 : x
  2. Step 2: Convert to fraction form
    11,891.81/17,871.89 = 17,871.89/x
  3. Step 3: Cross multiply
    11,891.81x = 17,871.89 × 17,871.89
  4. Step 4: Simplify right side
    11,891.81x = 319,404,474.51
  5. Step 5: Solve for x
    x = 319,404,474.51/11,891.81
  6. Step 6: Final answer
    x = 26,859.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.