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Finding the Third Proportional to 2,167 and 3,270

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Solution

The third proportional to 2,167 and 3,270 is: 4,934.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167 : 3,270 = 3,270 : x
  2. Step 2: Convert to fraction form
    2,167/3,270 = 3,270/x
  3. Step 3: Cross multiply
    2,167x = 3,270 × 3,270
  4. Step 4: Simplify right side
    2,167x = 10,692,900
  5. Step 5: Solve for x
    x = 10,692,900/2,167
  6. Step 6: Final answer
    x = 4,934.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.