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Finding the Third Proportional to 11,272 and 27,122

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Solution

The third proportional to 11,272 and 27,122 is: 65,259.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,272 : 27,122 = 27,122 : x
  2. Step 2: Convert to fraction form
    11,272/27,122 = 27,122/x
  3. Step 3: Cross multiply
    11,272x = 27,122 × 27,122
  4. Step 4: Simplify right side
    11,272x = 735,602,884
  5. Step 5: Solve for x
    x = 735,602,884/11,272
  6. Step 6: Final answer
    x = 65,259.30

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.