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Finding the Third Proportional to 8,082 and 18,717

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Solution

The third proportional to 8,082 and 18,717 is: 43,346.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,082 : 18,717 = 18,717 : x
  2. Step 2: Convert to fraction form
    8,082/18,717 = 18,717/x
  3. Step 3: Cross multiply
    8,082x = 18,717 × 18,717
  4. Step 4: Simplify right side
    8,082x = 350,326,089
  5. Step 5: Solve for x
    x = 350,326,089/8,082
  6. Step 6: Final answer
    x = 43,346.46

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.