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Finding the Third Proportional to 26,206 and 36,169

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Solution

The third proportional to 26,206 and 36,169 is: 49,919.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,206 : 36,169 = 36,169 : x
  2. Step 2: Convert to fraction form
    26,206/36,169 = 36,169/x
  3. Step 3: Cross multiply
    26,206x = 36,169 × 36,169
  4. Step 4: Simplify right side
    26,206x = 1,308,196,561
  5. Step 5: Solve for x
    x = 1,308,196,561/26,206
  6. Step 6: Final answer
    x = 49,919.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.