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Finding the Third Proportional to 3,885.75 and 6,179.06

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Solution

The third proportional to 3,885.75 and 6,179.06 is: 9,825.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885.75 : 6,179.06 = 6,179.06 : x
  2. Step 2: Convert to fraction form
    3,885.75/6,179.06 = 6,179.06/x
  3. Step 3: Cross multiply
    3,885.75x = 6,179.06 × 6,179.06
  4. Step 4: Simplify right side
    3,885.75x = 38,180,813.38
  5. Step 5: Solve for x
    x = 38,180,813.38/3,885.75
  6. Step 6: Final answer
    x = 9,825.85

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.