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Finding the Third Proportional to 6,743.25 and 15,231.38

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Solution

The third proportional to 6,743.25 and 15,231.38 is: 34,404.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,743.25 : 15,231.38 = 15,231.38 : x
  2. Step 2: Convert to fraction form
    6,743.25/15,231.38 = 15,231.38/x
  3. Step 3: Cross multiply
    6,743.25x = 15,231.38 × 15,231.38
  4. Step 4: Simplify right side
    6,743.25x = 231,994,784.39
  5. Step 5: Solve for x
    x = 231,994,784.39/6,743.25
  6. Step 6: Final answer
    x = 34,404.00

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.