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Finding the Third Proportional to 21,144 and 33,048

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Solution

The third proportional to 21,144 and 33,048 is: 51,653.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,144 : 33,048 = 33,048 : x
  2. Step 2: Convert to fraction form
    21,144/33,048 = 33,048/x
  3. Step 3: Cross multiply
    21,144x = 33,048 × 33,048
  4. Step 4: Simplify right side
    21,144x = 1,092,170,304
  5. Step 5: Solve for x
    x = 1,092,170,304/21,144
  6. Step 6: Final answer
    x = 51,653.91

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.