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Finding the Third Proportional to 6,596.44 and 14,293.97

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Solution

The third proportional to 6,596.44 and 14,293.97 is: 30,973.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,596.44 : 14,293.97 = 14,293.97 : x
  2. Step 2: Convert to fraction form
    6,596.44/14,293.97 = 14,293.97/x
  3. Step 3: Cross multiply
    6,596.44x = 14,293.97 × 14,293.97
  4. Step 4: Simplify right side
    6,596.44x = 204,317,542.63
  5. Step 5: Solve for x
    x = 204,317,542.63/6,596.44
  6. Step 6: Final answer
    x = 30,973.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.