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Finding the Third Proportional to 26,686 and 58,292

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Solution

The third proportional to 26,686 and 58,292 is: 127,331.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,686 : 58,292 = 58,292 : x
  2. Step 2: Convert to fraction form
    26,686/58,292 = 58,292/x
  3. Step 3: Cross multiply
    26,686x = 58,292 × 58,292
  4. Step 4: Simplify right side
    26,686x = 3,397,957,264
  5. Step 5: Solve for x
    x = 3,397,957,264/26,686
  6. Step 6: Final answer
    x = 127,331.08

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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.