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Finding the Third Proportional to 4,903 and 8,549

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Solution

The third proportional to 4,903 and 8,549 is: 14,906.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,903 : 8,549 = 8,549 : x
  2. Step 2: Convert to fraction form
    4,903/8,549 = 8,549/x
  3. Step 3: Cross multiply
    4,903x = 8,549 × 8,549
  4. Step 4: Simplify right side
    4,903x = 73,085,401
  5. Step 5: Solve for x
    x = 73,085,401/4,903
  6. Step 6: Final answer
    x = 14,906.26

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.