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Finding the Third Proportional to 3,197 and 4,297

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Solution

The third proportional to 3,197 and 4,297 is: 5,775.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197 : 4,297 = 4,297 : x
  2. Step 2: Convert to fraction form
    3,197/4,297 = 4,297/x
  3. Step 3: Cross multiply
    3,197x = 4,297 × 4,297
  4. Step 4: Simplify right side
    3,197x = 18,464,209
  5. Step 5: Solve for x
    x = 18,464,209/3,197
  6. Step 6: Final answer
    x = 5,775.48

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.