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Finding the Third Proportional to 7,722 and 18,665

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Solution

The third proportional to 7,722 and 18,665 is: 45,115.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,722 : 18,665 = 18,665 : x
  2. Step 2: Convert to fraction form
    7,722/18,665 = 18,665/x
  3. Step 3: Cross multiply
    7,722x = 18,665 × 18,665
  4. Step 4: Simplify right side
    7,722x = 348,382,225
  5. Step 5: Solve for x
    x = 348,382,225/7,722
  6. Step 6: Final answer
    x = 45,115.54

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.