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Finding the Third Proportional to 3,755.11 and 6,247.76

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Solution

The third proportional to 3,755.11 and 6,247.76 is: 10,395.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755.11 : 6,247.76 = 6,247.76 : x
  2. Step 2: Convert to fraction form
    3,755.11/6,247.76 = 6,247.76/x
  3. Step 3: Cross multiply
    3,755.11x = 6,247.76 × 6,247.76
  4. Step 4: Simplify right side
    3,755.11x = 39,034,477.68
  5. Step 5: Solve for x
    x = 39,034,477.68/3,755.11
  6. Step 6: Final answer
    x = 10,395.03

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.