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Finding the Third Proportional to 26,166 and 34,821

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Solution

The third proportional to 26,166 and 34,821 is: 46,338.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,166 : 34,821 = 34,821 : x
  2. Step 2: Convert to fraction form
    26,166/34,821 = 34,821/x
  3. Step 3: Cross multiply
    26,166x = 34,821 × 34,821
  4. Step 4: Simplify right side
    26,166x = 1,212,502,041
  5. Step 5: Solve for x
    x = 1,212,502,041/26,166
  6. Step 6: Final answer
    x = 46,338.84

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.