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Finding the Third Proportional to 9,202 and 18,782

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Solution

The third proportional to 9,202 and 18,782 is: 38,335.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202 : 18,782 = 18,782 : x
  2. Step 2: Convert to fraction form
    9,202/18,782 = 18,782/x
  3. Step 3: Cross multiply
    9,202x = 18,782 × 18,782
  4. Step 4: Simplify right side
    9,202x = 352,763,524
  5. Step 5: Solve for x
    x = 352,763,524/9,202
  6. Step 6: Final answer
    x = 38,335.53

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.