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Finding the Third Proportional to 11,027.81 and 16,643.81

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Solution

The third proportional to 11,027.81 and 16,643.81 is: 25,119.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,027.81 : 16,643.81 = 16,643.81 : x
  2. Step 2: Convert to fraction form
    11,027.81/16,643.81 = 16,643.81/x
  3. Step 3: Cross multiply
    11,027.81x = 16,643.81 × 16,643.81
  4. Step 4: Simplify right side
    11,027.81x = 277,016,494.54
  5. Step 5: Solve for x
    x = 277,016,494.54/11,027.81
  6. Step 6: Final answer
    x = 25,119.80

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.