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Finding the Third Proportional to 26,474 and 37,106

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Solution

The third proportional to 26,474 and 37,106 is: 52,007.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,474 : 37,106 = 37,106 : x
  2. Step 2: Convert to fraction form
    26,474/37,106 = 37,106/x
  3. Step 3: Cross multiply
    26,474x = 37,106 × 37,106
  4. Step 4: Simplify right side
    26,474x = 1,376,855,236
  5. Step 5: Solve for x
    x = 1,376,855,236/26,474
  6. Step 6: Final answer
    x = 52,007.83

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.