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Finding the Third Proportional to 6,265.69 and 13,812.19

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Solution

The third proportional to 6,265.69 and 13,812.19 is: 30,447.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,265.69 : 13,812.19 = 13,812.19 : x
  2. Step 2: Convert to fraction form
    6,265.69/13,812.19 = 13,812.19/x
  3. Step 3: Cross multiply
    6,265.69x = 13,812.19 × 13,812.19
  4. Step 4: Simplify right side
    6,265.69x = 190,776,523.54
  5. Step 5: Solve for x
    x = 190,776,523.54/6,265.69
  6. Step 6: Final answer
    x = 30,447.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.