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Finding the Third Proportional to 6,265.13 and 14,842.69

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Solution

The third proportional to 6,265.13 and 14,842.69 is: 35,163.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,265.13 : 14,842.69 = 14,842.69 : x
  2. Step 2: Convert to fraction form
    6,265.13/14,842.69 = 14,842.69/x
  3. Step 3: Cross multiply
    6,265.13x = 14,842.69 × 14,842.69
  4. Step 4: Simplify right side
    6,265.13x = 220,305,372.22
  5. Step 5: Solve for x
    x = 220,305,372.22/6,265.13
  6. Step 6: Final answer
    x = 35,163.76

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.