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Finding the Third Proportional to 5,049 and 10,755

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Solution

The third proportional to 5,049 and 10,755 is: 22,909.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,049 : 10,755 = 10,755 : x
  2. Step 2: Convert to fraction form
    5,049/10,755 = 10,755/x
  3. Step 3: Cross multiply
    5,049x = 10,755 × 10,755
  4. Step 4: Simplify right side
    5,049x = 115,670,025
  5. Step 5: Solve for x
    x = 115,670,025/5,049
  6. Step 6: Final answer
    x = 22,909.49

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.