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Finding the Third Proportional to 26,084 and 37,166

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Solution

The third proportional to 26,084 and 37,166 is: 52,956.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,084 : 37,166 = 37,166 : x
  2. Step 2: Convert to fraction form
    26,084/37,166 = 37,166/x
  3. Step 3: Cross multiply
    26,084x = 37,166 × 37,166
  4. Step 4: Simplify right side
    26,084x = 1,381,311,556
  5. Step 5: Solve for x
    x = 1,381,311,556/26,084
  6. Step 6: Final answer
    x = 52,956.28

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.