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Finding the Third Proportional to 11,926.13 and 16,195.50

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Solution

The third proportional to 11,926.13 and 16,195.50 is: 21,993.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,926.13 : 16,195.50 = 16,195.50 : x
  2. Step 2: Convert to fraction form
    11,926.13/16,195.50 = 16,195.50/x
  3. Step 3: Cross multiply
    11,926.13x = 16,195.50 × 16,195.50
  4. Step 4: Simplify right side
    11,926.13x = 262,294,220.25
  5. Step 5: Solve for x
    x = 262,294,220.25/11,926.13
  6. Step 6: Final answer
    x = 21,993.25

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.