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Finding the Third Proportional to 26,974 and 59,132

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Solution

The third proportional to 26,974 and 59,132 is: 129,628.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,974 : 59,132 = 59,132 : x
  2. Step 2: Convert to fraction form
    26,974/59,132 = 59,132/x
  3. Step 3: Cross multiply
    26,974x = 59,132 × 59,132
  4. Step 4: Simplify right side
    26,974x = 3,496,593,424
  5. Step 5: Solve for x
    x = 3,496,593,424/26,974
  6. Step 6: Final answer
    x = 129,628.29

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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.