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Finding the Third Proportional to 6,924.38 and 10,394.44

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Solution

The third proportional to 6,924.38 and 10,394.44 is: 15,603.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,924.38 : 10,394.44 = 10,394.44 : x
  2. Step 2: Convert to fraction form
    6,924.38/10,394.44 = 10,394.44/x
  3. Step 3: Cross multiply
    6,924.38x = 10,394.44 × 10,394.44
  4. Step 4: Simplify right side
    6,924.38x = 108,044,330.94
  5. Step 5: Solve for x
    x = 108,044,330.94/6,924.38
  6. Step 6: Final answer
    x = 15,603.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.