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Finding the Third Proportional to 26,961 and 58,135

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Solution

The third proportional to 26,961 and 58,135 is: 125,354.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,961 : 58,135 = 58,135 : x
  2. Step 2: Convert to fraction form
    26,961/58,135 = 58,135/x
  3. Step 3: Cross multiply
    26,961x = 58,135 × 58,135
  4. Step 4: Simplify right side
    26,961x = 3,379,678,225
  5. Step 5: Solve for x
    x = 3,379,678,225/26,961
  6. Step 6: Final answer
    x = 125,354.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.