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Finding the Third Proportional to 3,837.66 and 6,885.56

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Solution

The third proportional to 3,837.66 and 6,885.56 is: 12,354.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,837.66 : 6,885.56 = 6,885.56 : x
  2. Step 2: Convert to fraction form
    3,837.66/6,885.56 = 6,885.56/x
  3. Step 3: Cross multiply
    3,837.66x = 6,885.56 × 6,885.56
  4. Step 4: Simplify right side
    3,837.66x = 47,410,970.94
  5. Step 5: Solve for x
    x = 47,410,970.94/3,837.66
  6. Step 6: Final answer
    x = 12,354.15

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.