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Finding the Third Proportional to 3,164 and 3,644

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Solution

The third proportional to 3,164 and 3,644 is: 4,196.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164 : 3,644 = 3,644 : x
  2. Step 2: Convert to fraction form
    3,164/3,644 = 3,644/x
  3. Step 3: Cross multiply
    3,164x = 3,644 × 3,644
  4. Step 4: Simplify right side
    3,164x = 13,278,736
  5. Step 5: Solve for x
    x = 13,278,736/3,164
  6. Step 6: Final answer
    x = 4,196.82

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.