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Finding the Third Proportional to 11,678 and 18,264

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Solution

The third proportional to 11,678 and 18,264 is: 28,564.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,678 : 18,264 = 18,264 : x
  2. Step 2: Convert to fraction form
    11,678/18,264 = 18,264/x
  3. Step 3: Cross multiply
    11,678x = 18,264 × 18,264
  4. Step 4: Simplify right side
    11,678x = 333,573,696
  5. Step 5: Solve for x
    x = 333,573,696/11,678
  6. Step 6: Final answer
    x = 28,564.28

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.