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Finding the Third Proportional to 3,973 and 6,085

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Solution

The third proportional to 3,973 and 6,085 is: 9,319.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,973 : 6,085 = 6,085 : x
  2. Step 2: Convert to fraction form
    3,973/6,085 = 6,085/x
  3. Step 3: Cross multiply
    3,973x = 6,085 × 6,085
  4. Step 4: Simplify right side
    3,973x = 37,027,225
  5. Step 5: Solve for x
    x = 37,027,225/3,973
  6. Step 6: Final answer
    x = 9,319.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.