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Finding the Third Proportional to 11,757 and 18,213

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Solution

The third proportional to 11,757 and 18,213 is: 28,214.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,757 : 18,213 = 18,213 : x
  2. Step 2: Convert to fraction form
    11,757/18,213 = 18,213/x
  3. Step 3: Cross multiply
    11,757x = 18,213 × 18,213
  4. Step 4: Simplify right side
    11,757x = 331,713,369
  5. Step 5: Solve for x
    x = 331,713,369/11,757
  6. Step 6: Final answer
    x = 28,214.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.