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Finding the Third Proportional to 20,444 and 30,767

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Solution

The third proportional to 20,444 and 30,767 is: 46,302.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,444 : 30,767 = 30,767 : x
  2. Step 2: Convert to fraction form
    20,444/30,767 = 30,767/x
  3. Step 3: Cross multiply
    20,444x = 30,767 × 30,767
  4. Step 4: Simplify right side
    20,444x = 946,608,289
  5. Step 5: Solve for x
    x = 946,608,289/20,444
  6. Step 6: Final answer
    x = 46,302.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.