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Finding the Third Proportional to 5,048 and 10,695

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Solution

The third proportional to 5,048 and 10,695 is: 22,659.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,048 : 10,695 = 10,695 : x
  2. Step 2: Convert to fraction form
    5,048/10,695 = 10,695/x
  3. Step 3: Cross multiply
    5,048x = 10,695 × 10,695
  4. Step 4: Simplify right side
    5,048x = 114,383,025
  5. Step 5: Solve for x
    x = 114,383,025/5,048
  6. Step 6: Final answer
    x = 22,659.08

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.