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Finding the Third Proportional to 11,196.75 and 16,921.13

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Solution

The third proportional to 11,196.75 and 16,921.13 is: 25,572.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,196.75 : 16,921.13 = 16,921.13 : x
  2. Step 2: Convert to fraction form
    11,196.75/16,921.13 = 16,921.13/x
  3. Step 3: Cross multiply
    11,196.75x = 16,921.13 × 16,921.13
  4. Step 4: Simplify right side
    11,196.75x = 286,324,471.27
  5. Step 5: Solve for x
    x = 286,324,471.27/11,196.75
  6. Step 6: Final answer
    x = 25,572.11

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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.