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Finding the Third Proportional to 27,974 and 59,944

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Solution

The third proportional to 27,974 and 59,944 is: 128,450.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,974 : 59,944 = 59,944 : x
  2. Step 2: Convert to fraction form
    27,974/59,944 = 59,944/x
  3. Step 3: Cross multiply
    27,974x = 59,944 × 59,944
  4. Step 4: Simplify right side
    27,974x = 3,593,283,136
  5. Step 5: Solve for x
    x = 3,593,283,136/27,974
  6. Step 6: Final answer
    x = 128,450.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.