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Finding the Third Proportional to 26,847 and 41,202

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Solution

The third proportional to 26,847 and 41,202 is: 63,232.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,847 : 41,202 = 41,202 : x
  2. Step 2: Convert to fraction form
    26,847/41,202 = 41,202/x
  3. Step 3: Cross multiply
    26,847x = 41,202 × 41,202
  4. Step 4: Simplify right side
    26,847x = 1,697,604,804
  5. Step 5: Solve for x
    x = 1,697,604,804/26,847
  6. Step 6: Final answer
    x = 63,232.57

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.