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Finding the Third Proportional to 26,462 and 58,108

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Solution

The third proportional to 26,462 and 58,108 is: 127,599.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,462 : 58,108 = 58,108 : x
  2. Step 2: Convert to fraction form
    26,462/58,108 = 58,108/x
  3. Step 3: Cross multiply
    26,462x = 58,108 × 58,108
  4. Step 4: Simplify right side
    26,462x = 3,376,539,664
  5. Step 5: Solve for x
    x = 3,376,539,664/26,462
  6. Step 6: Final answer
    x = 127,599.56

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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.