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Finding the Third Proportional to 21,338 and 30,036

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Solution

The third proportional to 21,338 and 30,036 is: 42,279.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,338 : 30,036 = 30,036 : x
  2. Step 2: Convert to fraction form
    21,338/30,036 = 30,036/x
  3. Step 3: Cross multiply
    21,338x = 30,036 × 30,036
  4. Step 4: Simplify right side
    21,338x = 902,161,296
  5. Step 5: Solve for x
    x = 902,161,296/21,338
  6. Step 6: Final answer
    x = 42,279.56

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.