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Finding the Third Proportional to 26,473 and 58,193

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Solution

The third proportional to 26,473 and 58,193 is: 127,919.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,473 : 58,193 = 58,193 : x
  2. Step 2: Convert to fraction form
    26,473/58,193 = 58,193/x
  3. Step 3: Cross multiply
    26,473x = 58,193 × 58,193
  4. Step 4: Simplify right side
    26,473x = 3,386,425,249
  5. Step 5: Solve for x
    x = 3,386,425,249/26,473
  6. Step 6: Final answer
    x = 127,919.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.