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Finding the Third Proportional to 11,699.44 and 17,983.69

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Solution

The third proportional to 11,699.44 and 17,983.69 is: 27,643.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,699.44 : 17,983.69 = 17,983.69 : x
  2. Step 2: Convert to fraction form
    11,699.44/17,983.69 = 17,983.69/x
  3. Step 3: Cross multiply
    11,699.44x = 17,983.69 × 17,983.69
  4. Step 4: Simplify right side
    11,699.44x = 323,413,016.10
  5. Step 5: Solve for x
    x = 323,413,016.10/11,699.44
  6. Step 6: Final answer
    x = 27,643.47

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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.