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Finding the Third Proportional to 26,863 and 58,504

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Solution

The third proportional to 26,863 and 58,504 is: 127,413.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,863 : 58,504 = 58,504 : x
  2. Step 2: Convert to fraction form
    26,863/58,504 = 58,504/x
  3. Step 3: Cross multiply
    26,863x = 58,504 × 58,504
  4. Step 4: Simplify right side
    26,863x = 3,422,718,016
  5. Step 5: Solve for x
    x = 3,422,718,016/26,863
  6. Step 6: Final answer
    x = 127,413.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.