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Finding the Third Proportional to 26,956 and 59,092

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Solution

The third proportional to 26,956 and 59,092 is: 129,539.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,956 : 59,092 = 59,092 : x
  2. Step 2: Convert to fraction form
    26,956/59,092 = 59,092/x
  3. Step 3: Cross multiply
    26,956x = 59,092 × 59,092
  4. Step 4: Simplify right side
    26,956x = 3,491,864,464
  5. Step 5: Solve for x
    x = 3,491,864,464/26,956
  6. Step 6: Final answer
    x = 129,539.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.