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Finding the Third Proportional to 11,891.81 and 18,840.09

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Solution

The third proportional to 11,891.81 and 18,840.09 is: 29,848.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,891.81 : 18,840.09 = 18,840.09 : x
  2. Step 2: Convert to fraction form
    11,891.81/18,840.09 = 18,840.09/x
  3. Step 3: Cross multiply
    11,891.81x = 18,840.09 × 18,840.09
  4. Step 4: Simplify right side
    11,891.81x = 354,949,132.51
  5. Step 5: Solve for x
    x = 354,949,132.51/11,891.81
  6. Step 6: Final answer
    x = 29,848.19

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.