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Finding the Third Proportional to 26,871 and 58,350

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Solution

The third proportional to 26,871 and 58,350 is: 126,706.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,871 : 58,350 = 58,350 : x
  2. Step 2: Convert to fraction form
    26,871/58,350 = 58,350/x
  3. Step 3: Cross multiply
    26,871x = 58,350 × 58,350
  4. Step 4: Simplify right side
    26,871x = 3,404,722,500
  5. Step 5: Solve for x
    x = 3,404,722,500/26,871
  6. Step 6: Final answer
    x = 126,706.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.