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Finding the Third Proportional to 4,593.27 and 6,884.21

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Solution

The third proportional to 4,593.27 and 6,884.21 is: 10,317.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,593.27 : 6,884.21 = 6,884.21 : x
  2. Step 2: Convert to fraction form
    4,593.27/6,884.21 = 6,884.21/x
  3. Step 3: Cross multiply
    4,593.27x = 6,884.21 × 6,884.21
  4. Step 4: Simplify right side
    4,593.27x = 47,392,333.34
  5. Step 5: Solve for x
    x = 47,392,333.34/4,593.27
  6. Step 6: Final answer
    x = 10,317.78

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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.