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Finding the Third Proportional to 27,015 and 62,802

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Solution

The third proportional to 27,015 and 62,802 is: 145,996.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,015 : 62,802 = 62,802 : x
  2. Step 2: Convert to fraction form
    27,015/62,802 = 62,802/x
  3. Step 3: Cross multiply
    27,015x = 62,802 × 62,802
  4. Step 4: Simplify right side
    27,015x = 3,944,091,204
  5. Step 5: Solve for x
    x = 3,944,091,204/27,015
  6. Step 6: Final answer
    x = 145,996.34

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.