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Finding the Third Proportional to 33,363 and 72,549

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Solution

The third proportional to 33,363 and 72,549 is: 157,760.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,363 : 72,549 = 72,549 : x
  2. Step 2: Convert to fraction form
    33,363/72,549 = 72,549/x
  3. Step 3: Cross multiply
    33,363x = 72,549 × 72,549
  4. Step 4: Simplify right side
    33,363x = 5,263,357,401
  5. Step 5: Solve for x
    x = 5,263,357,401/33,363
  6. Step 6: Final answer
    x = 157,760.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.