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Finding the Third Proportional to 33,577 and 51,418

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Solution

The third proportional to 33,577 and 51,418 is: 78,738.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,577 : 51,418 = 51,418 : x
  2. Step 2: Convert to fraction form
    33,577/51,418 = 51,418/x
  3. Step 3: Cross multiply
    33,577x = 51,418 × 51,418
  4. Step 4: Simplify right side
    33,577x = 2,643,810,724
  5. Step 5: Solve for x
    x = 2,643,810,724/33,577
  6. Step 6: Final answer
    x = 78,738.74

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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.