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Finding the Third Proportional to 26,817 and 60,471

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Solution

The third proportional to 26,817 and 60,471 is: 136,359.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,817 : 60,471 = 60,471 : x
  2. Step 2: Convert to fraction form
    26,817/60,471 = 60,471/x
  3. Step 3: Cross multiply
    26,817x = 60,471 × 60,471
  4. Step 4: Simplify right side
    26,817x = 3,656,741,841
  5. Step 5: Solve for x
    x = 3,656,741,841/26,817
  6. Step 6: Final answer
    x = 136,359.09

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.