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Finding the Third Proportional to 26,251 and 58,280

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Solution

The third proportional to 26,251 and 58,280 is: 129,387.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,251 : 58,280 = 58,280 : x
  2. Step 2: Convert to fraction form
    26,251/58,280 = 58,280/x
  3. Step 3: Cross multiply
    26,251x = 58,280 × 58,280
  4. Step 4: Simplify right side
    26,251x = 3,396,558,400
  5. Step 5: Solve for x
    x = 3,396,558,400/26,251
  6. Step 6: Final answer
    x = 129,387.77

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.