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Finding the Third Proportional to 26,939 and 59,494

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Solution

The third proportional to 26,939 and 59,494 is: 131,390.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,939 : 59,494 = 59,494 : x
  2. Step 2: Convert to fraction form
    26,939/59,494 = 59,494/x
  3. Step 3: Cross multiply
    26,939x = 59,494 × 59,494
  4. Step 4: Simplify right side
    26,939x = 3,539,536,036
  5. Step 5: Solve for x
    x = 3,539,536,036/26,939
  6. Step 6: Final answer
    x = 131,390.77

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.