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Finding the Third Proportional to 11,742 and 16,515

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Solution

The third proportional to 11,742 and 16,515 is: 23,228.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,742 : 16,515 = 16,515 : x
  2. Step 2: Convert to fraction form
    11,742/16,515 = 16,515/x
  3. Step 3: Cross multiply
    11,742x = 16,515 × 16,515
  4. Step 4: Simplify right side
    11,742x = 272,745,225
  5. Step 5: Solve for x
    x = 272,745,225/11,742
  6. Step 6: Final answer
    x = 23,228.17

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Why These Related Problems?

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