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Finding the Third Proportional to 11,780 and 18,156

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Solution

The third proportional to 11,780 and 18,156 is: 27,983.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,780 : 18,156 = 18,156 : x
  2. Step 2: Convert to fraction form
    11,780/18,156 = 18,156/x
  3. Step 3: Cross multiply
    11,780x = 18,156 × 18,156
  4. Step 4: Simplify right side
    11,780x = 329,640,336
  5. Step 5: Solve for x
    x = 329,640,336/11,780
  6. Step 6: Final answer
    x = 27,983.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.