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Finding the Third Proportional to 11,402 and 27,601

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Solution

The third proportional to 11,402 and 27,601 is: 66,814.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,402 : 27,601 = 27,601 : x
  2. Step 2: Convert to fraction form
    11,402/27,601 = 27,601/x
  3. Step 3: Cross multiply
    11,402x = 27,601 × 27,601
  4. Step 4: Simplify right side
    11,402x = 761,815,201
  5. Step 5: Solve for x
    x = 761,815,201/11,402
  6. Step 6: Final answer
    x = 66,814.17

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.