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Finding the Third Proportional to 11,231 and 18,716.50

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Solution

The third proportional to 11,231 and 18,716.50 is: 31,191.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,231 : 18,716.50 = 18,716.50 : x
  2. Step 2: Convert to fraction form
    11,231/18,716.50 = 18,716.50/x
  3. Step 3: Cross multiply
    11,231x = 18,716.50 × 18,716.50
  4. Step 4: Simplify right side
    11,231x = 350,307,372.25
  5. Step 5: Solve for x
    x = 350,307,372.25/11,231
  6. Step 6: Final answer
    x = 31,191.11

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.