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Finding the Third Proportional to 27,702 and 61,101

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Solution

The third proportional to 27,702 and 61,101 is: 134,767.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,702 : 61,101 = 61,101 : x
  2. Step 2: Convert to fraction form
    27,702/61,101 = 61,101/x
  3. Step 3: Cross multiply
    27,702x = 61,101 × 61,101
  4. Step 4: Simplify right side
    27,702x = 3,733,332,201
  5. Step 5: Solve for x
    x = 3,733,332,201/27,702
  6. Step 6: Final answer
    x = 134,767.61

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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.