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Finding the Third Proportional to 3,691 and 4,307

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Solution

The third proportional to 3,691 and 4,307 is: 5,025.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691 : 4,307 = 4,307 : x
  2. Step 2: Convert to fraction form
    3,691/4,307 = 4,307/x
  3. Step 3: Cross multiply
    3,691x = 4,307 × 4,307
  4. Step 4: Simplify right side
    3,691x = 18,550,249
  5. Step 5: Solve for x
    x = 18,550,249/3,691
  6. Step 6: Final answer
    x = 5,025.81

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.