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Finding the Third Proportional to 11,152 and 16,691

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Solution

The third proportional to 11,152 and 16,691 is: 24,981.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,152 : 16,691 = 16,691 : x
  2. Step 2: Convert to fraction form
    11,152/16,691 = 16,691/x
  3. Step 3: Cross multiply
    11,152x = 16,691 × 16,691
  4. Step 4: Simplify right side
    11,152x = 278,589,481
  5. Step 5: Solve for x
    x = 278,589,481/11,152
  6. Step 6: Final answer
    x = 24,981.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.