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Finding the Third Proportional to 26,847.50 and 41,202.75

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Solution

The third proportional to 26,847.50 and 41,202.75 is: 63,233.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,847.50 : 41,202.75 = 41,202.75 : x
  2. Step 2: Convert to fraction form
    26,847.50/41,202.75 = 41,202.75/x
  3. Step 3: Cross multiply
    26,847.50x = 41,202.75 × 41,202.75
  4. Step 4: Simplify right side
    26,847.50x = 1,697,666,607.56
  5. Step 5: Solve for x
    x = 1,697,666,607.56/26,847.50
  6. Step 6: Final answer
    x = 63,233.69

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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.