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Finding the Third Proportional to 20,138 and 30,344

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Solution

The third proportional to 20,138 and 30,344 is: 45,722.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,138 : 30,344 = 30,344 : x
  2. Step 2: Convert to fraction form
    20,138/30,344 = 30,344/x
  3. Step 3: Cross multiply
    20,138x = 30,344 × 30,344
  4. Step 4: Simplify right side
    20,138x = 920,758,336
  5. Step 5: Solve for x
    x = 920,758,336/20,138
  6. Step 6: Final answer
    x = 45,722.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.