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Finding the Third Proportional to 21,504 and 33,213.75

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Solution

The third proportional to 21,504 and 33,213.75 is: 51,299.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,504 : 33,213.75 = 33,213.75 : x
  2. Step 2: Convert to fraction form
    21,504/33,213.75 = 33,213.75/x
  3. Step 3: Cross multiply
    21,504x = 33,213.75 × 33,213.75
  4. Step 4: Simplify right side
    21,504x = 1,103,153,189.06
  5. Step 5: Solve for x
    x = 1,103,153,189.06/21,504
  6. Step 6: Final answer
    x = 51,299.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.