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Finding the Third Proportional to 6,167 and 14,549

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Solution

The third proportional to 6,167 and 14,549 is: 34,323.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,167 : 14,549 = 14,549 : x
  2. Step 2: Convert to fraction form
    6,167/14,549 = 14,549/x
  3. Step 3: Cross multiply
    6,167x = 14,549 × 14,549
  4. Step 4: Simplify right side
    6,167x = 211,673,401
  5. Step 5: Solve for x
    x = 211,673,401/6,167
  6. Step 6: Final answer
    x = 34,323.56

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.