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Finding the Third Proportional to 3,846 and 8,383.88

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Solution

The third proportional to 3,846 and 8,383.88 is: 18,275.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846 : 8,383.88 = 8,383.88 : x
  2. Step 2: Convert to fraction form
    3,846/8,383.88 = 8,383.88/x
  3. Step 3: Cross multiply
    3,846x = 8,383.88 × 8,383.88
  4. Step 4: Simplify right side
    3,846x = 70,289,360.02
  5. Step 5: Solve for x
    x = 70,289,360.02/3,846
  6. Step 6: Final answer
    x = 18,275.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.