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Finding the Third Proportional to 4,897 and 11,549

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Solution

The third proportional to 4,897 and 11,549 is: 27,236.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,897 : 11,549 = 11,549 : x
  2. Step 2: Convert to fraction form
    4,897/11,549 = 11,549/x
  3. Step 3: Cross multiply
    4,897x = 11,549 × 11,549
  4. Step 4: Simplify right side
    4,897x = 133,379,401
  5. Step 5: Solve for x
    x = 133,379,401/4,897
  6. Step 6: Final answer
    x = 27,236.96

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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.