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Finding the Third Proportional to 27,993 and 59,145

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Solution

The third proportional to 27,993 and 59,145 is: 124,964.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,993 : 59,145 = 59,145 : x
  2. Step 2: Convert to fraction form
    27,993/59,145 = 59,145/x
  3. Step 3: Cross multiply
    27,993x = 59,145 × 59,145
  4. Step 4: Simplify right side
    27,993x = 3,498,131,025
  5. Step 5: Solve for x
    x = 3,498,131,025/27,993
  6. Step 6: Final answer
    x = 124,964.49

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.