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Finding the Third Proportional to 6,274.97 and 13,069.69

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Solution

The third proportional to 6,274.97 and 13,069.69 is: 27,221.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.97 : 13,069.69 = 13,069.69 : x
  2. Step 2: Convert to fraction form
    6,274.97/13,069.69 = 13,069.69/x
  3. Step 3: Cross multiply
    6,274.97x = 13,069.69 × 13,069.69
  4. Step 4: Simplify right side
    6,274.97x = 170,816,731.35
  5. Step 5: Solve for x
    x = 170,816,731.35/6,274.97
  6. Step 6: Final answer
    x = 27,221.93

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.