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Finding the Third Proportional to 9,002 and 18,721

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Solution

The third proportional to 9,002 and 18,721 is: 38,933.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,002 : 18,721 = 18,721 : x
  2. Step 2: Convert to fraction form
    9,002/18,721 = 18,721/x
  3. Step 3: Cross multiply
    9,002x = 18,721 × 18,721
  4. Step 4: Simplify right side
    9,002x = 350,475,841
  5. Step 5: Solve for x
    x = 350,475,841/9,002
  6. Step 6: Final answer
    x = 38,933.11

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.