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Finding the Third Proportional to 27,690 and 59,006

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Solution

The third proportional to 27,690 and 59,006 is: 125,738.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,690 : 59,006 = 59,006 : x
  2. Step 2: Convert to fraction form
    27,690/59,006 = 59,006/x
  3. Step 3: Cross multiply
    27,690x = 59,006 × 59,006
  4. Step 4: Simplify right side
    27,690x = 3,481,708,036
  5. Step 5: Solve for x
    x = 3,481,708,036/27,690
  6. Step 6: Final answer
    x = 125,738.82

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.