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Finding the Third Proportional to 7,722 and 16,645

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Solution

The third proportional to 7,722 and 16,645 is: 35,878.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,722 : 16,645 = 16,645 : x
  2. Step 2: Convert to fraction form
    7,722/16,645 = 16,645/x
  3. Step 3: Cross multiply
    7,722x = 16,645 × 16,645
  4. Step 4: Simplify right side
    7,722x = 277,056,025
  5. Step 5: Solve for x
    x = 277,056,025/7,722
  6. Step 6: Final answer
    x = 35,878.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.