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Finding the Third Proportional to 26,671 and 36,164

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Solution

The third proportional to 26,671 and 36,164 is: 49,035.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,671 : 36,164 = 36,164 : x
  2. Step 2: Convert to fraction form
    26,671/36,164 = 36,164/x
  3. Step 3: Cross multiply
    26,671x = 36,164 × 36,164
  4. Step 4: Simplify right side
    26,671x = 1,307,834,896
  5. Step 5: Solve for x
    x = 1,307,834,896/26,671
  6. Step 6: Final answer
    x = 49,035.84

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.