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Finding the Third Proportional to 21,338 and 30,736

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Solution

The third proportional to 21,338 and 30,736 is: 44,273.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,338 : 30,736 = 30,736 : x
  2. Step 2: Convert to fraction form
    21,338/30,736 = 30,736/x
  3. Step 3: Cross multiply
    21,338x = 30,736 × 30,736
  4. Step 4: Simplify right side
    21,338x = 944,701,696
  5. Step 5: Solve for x
    x = 944,701,696/21,338
  6. Step 6: Final answer
    x = 44,273.21

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.