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Finding the Third Proportional to 33,570 and 51,327

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Solution

The third proportional to 33,570 and 51,327 is: 78,476.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,570 : 51,327 = 51,327 : x
  2. Step 2: Convert to fraction form
    33,570/51,327 = 51,327/x
  3. Step 3: Cross multiply
    33,570x = 51,327 × 51,327
  4. Step 4: Simplify right side
    33,570x = 2,634,460,929
  5. Step 5: Solve for x
    x = 2,634,460,929/33,570
  6. Step 6: Final answer
    x = 78,476.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.