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Finding the Third Proportional to 3,297 and 3,713

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Solution

The third proportional to 3,297 and 3,713 is: 4,181.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297 : 3,713 = 3,713 : x
  2. Step 2: Convert to fraction form
    3,297/3,713 = 3,713/x
  3. Step 3: Cross multiply
    3,297x = 3,713 × 3,713
  4. Step 4: Simplify right side
    3,297x = 13,786,369
  5. Step 5: Solve for x
    x = 13,786,369/3,297
  6. Step 6: Final answer
    x = 4,181.49

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.