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Finding the Third Proportional to 20,021 and 30,442

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Solution

The third proportional to 20,021 and 30,442 is: 46,287.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,021 : 30,442 = 30,442 : x
  2. Step 2: Convert to fraction form
    20,021/30,442 = 30,442/x
  3. Step 3: Cross multiply
    20,021x = 30,442 × 30,442
  4. Step 4: Simplify right side
    20,021x = 926,715,364
  5. Step 5: Solve for x
    x = 926,715,364/20,021
  6. Step 6: Final answer
    x = 46,287.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.