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Finding the Third Proportional to 27,104 and 49,708

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Solution

The third proportional to 27,104 and 49,708 is: 91,163.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,104 : 49,708 = 49,708 : x
  2. Step 2: Convert to fraction form
    27,104/49,708 = 49,708/x
  3. Step 3: Cross multiply
    27,104x = 49,708 × 49,708
  4. Step 4: Simplify right side
    27,104x = 2,470,885,264
  5. Step 5: Solve for x
    x = 2,470,885,264/27,104
  6. Step 6: Final answer
    x = 91,163.12

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.