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Finding the Third Proportional to 11,118 and 16,231.50

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Solution

The third proportional to 11,118 and 16,231.50 is: 23,696.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,118 : 16,231.50 = 16,231.50 : x
  2. Step 2: Convert to fraction form
    11,118/16,231.50 = 16,231.50/x
  3. Step 3: Cross multiply
    11,118x = 16,231.50 × 16,231.50
  4. Step 4: Simplify right side
    11,118x = 263,461,592.25
  5. Step 5: Solve for x
    x = 263,461,592.25/11,118
  6. Step 6: Final answer
    x = 23,696.85

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.