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Finding the Third Proportional to 20,406 and 30,444

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Solution

The third proportional to 20,406 and 30,444 is: 45,419.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,406 : 30,444 = 30,444 : x
  2. Step 2: Convert to fraction form
    20,406/30,444 = 30,444/x
  3. Step 3: Cross multiply
    20,406x = 30,444 × 30,444
  4. Step 4: Simplify right side
    20,406x = 926,837,136
  5. Step 5: Solve for x
    x = 926,837,136/20,406
  6. Step 6: Final answer
    x = 45,419.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.