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Finding the Third Proportional to 12,759 and 27,062

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Solution

The third proportional to 12,759 and 27,062 is: 57,398.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,759 : 27,062 = 27,062 : x
  2. Step 2: Convert to fraction form
    12,759/27,062 = 27,062/x
  3. Step 3: Cross multiply
    12,759x = 27,062 × 27,062
  4. Step 4: Simplify right side
    12,759x = 732,351,844
  5. Step 5: Solve for x
    x = 732,351,844/12,759
  6. Step 6: Final answer
    x = 57,398.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.