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Finding the Third Proportional to 4,841.44 and 7,414.03

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Solution

The third proportional to 4,841.44 and 7,414.03 is: 11,353.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,841.44 : 7,414.03 = 7,414.03 : x
  2. Step 2: Convert to fraction form
    4,841.44/7,414.03 = 7,414.03/x
  3. Step 3: Cross multiply
    4,841.44x = 7,414.03 × 7,414.03
  4. Step 4: Simplify right side
    4,841.44x = 54,967,859.38
  5. Step 5: Solve for x
    x = 54,967,859.38/4,841.44
  6. Step 6: Final answer
    x = 11,353.62

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.