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Finding the Third Proportional to 26,756 and 63,274

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Solution

The third proportional to 26,756 and 63,274 is: 149,633.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,756 : 63,274 = 63,274 : x
  2. Step 2: Convert to fraction form
    26,756/63,274 = 63,274/x
  3. Step 3: Cross multiply
    26,756x = 63,274 × 63,274
  4. Step 4: Simplify right side
    26,756x = 4,003,599,076
  5. Step 5: Solve for x
    x = 4,003,599,076/26,756
  6. Step 6: Final answer
    x = 149,633.69

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.