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Finding the Third Proportional to 11,607.75 and 16,409.25

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Solution

The third proportional to 11,607.75 and 16,409.25 is: 23,196.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,607.75 : 16,409.25 = 16,409.25 : x
  2. Step 2: Convert to fraction form
    11,607.75/16,409.25 = 16,409.25/x
  3. Step 3: Cross multiply
    11,607.75x = 16,409.25 × 16,409.25
  4. Step 4: Simplify right side
    11,607.75x = 269,263,485.56
  5. Step 5: Solve for x
    x = 269,263,485.56/11,607.75
  6. Step 6: Final answer
    x = 23,196.87

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.