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Finding the Third Proportional to 11,072 and 27,392

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Solution

The third proportional to 11,072 and 27,392 is: 67,767.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,072 : 27,392 = 27,392 : x
  2. Step 2: Convert to fraction form
    11,072/27,392 = 27,392/x
  3. Step 3: Cross multiply
    11,072x = 27,392 × 27,392
  4. Step 4: Simplify right side
    11,072x = 750,321,664
  5. Step 5: Solve for x
    x = 750,321,664/11,072
  6. Step 6: Final answer
    x = 67,767.49

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Why These Related Problems?

These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.