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Finding the Third Proportional to 20,398 and 30,218

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Solution

The third proportional to 20,398 and 30,218 is: 44,765.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,398 : 30,218 = 30,218 : x
  2. Step 2: Convert to fraction form
    20,398/30,218 = 30,218/x
  3. Step 3: Cross multiply
    20,398x = 30,218 × 30,218
  4. Step 4: Simplify right side
    20,398x = 913,127,524
  5. Step 5: Solve for x
    x = 913,127,524/20,398
  6. Step 6: Final answer
    x = 44,765.54

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.