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Finding the Third Proportional to 6,743.39 and 14,825.11

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Solution

The third proportional to 6,743.39 and 14,825.11 is: 32,592.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,743.39 : 14,825.11 = 14,825.11 : x
  2. Step 2: Convert to fraction form
    6,743.39/14,825.11 = 14,825.11/x
  3. Step 3: Cross multiply
    6,743.39x = 14,825.11 × 14,825.11
  4. Step 4: Simplify right side
    6,743.39x = 219,783,867.98
  5. Step 5: Solve for x
    x = 219,783,867.98/6,743.39
  6. Step 6: Final answer
    x = 32,592.49

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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.