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Finding the Third Proportional to 3,841.38 and 5,213.63

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Solution

The third proportional to 3,841.38 and 5,213.63 is: 7,076.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,841.38 : 5,213.63 = 5,213.63 : x
  2. Step 2: Convert to fraction form
    3,841.38/5,213.63 = 5,213.63/x
  3. Step 3: Cross multiply
    3,841.38x = 5,213.63 × 5,213.63
  4. Step 4: Simplify right side
    3,841.38x = 27,181,885.64
  5. Step 5: Solve for x
    x = 27,181,885.64/3,841.38
  6. Step 6: Final answer
    x = 7,076.08

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.