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Finding the Third Proportional to 33,684 and 51,549

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Solution

The third proportional to 33,684 and 51,549 is: 78,889.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,684 : 51,549 = 51,549 : x
  2. Step 2: Convert to fraction form
    33,684/51,549 = 51,549/x
  3. Step 3: Cross multiply
    33,684x = 51,549 × 51,549
  4. Step 4: Simplify right side
    33,684x = 2,657,299,401
  5. Step 5: Solve for x
    x = 2,657,299,401/33,684
  6. Step 6: Final answer
    x = 78,889.07

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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.