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Finding the Third Proportional to 9,783 and 18,269

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Solution

The third proportional to 9,783 and 18,269 is: 34,115.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783 : 18,269 = 18,269 : x
  2. Step 2: Convert to fraction form
    9,783/18,269 = 18,269/x
  3. Step 3: Cross multiply
    9,783x = 18,269 × 18,269
  4. Step 4: Simplify right side
    9,783x = 333,756,361
  5. Step 5: Solve for x
    x = 333,756,361/9,783
  6. Step 6: Final answer
    x = 34,115.95

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.