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Finding the Third Proportional to 38,401 and 83,330

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Solution

The third proportional to 38,401 and 83,330 is: 180,825.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,401 : 83,330 = 83,330 : x
  2. Step 2: Convert to fraction form
    38,401/83,330 = 83,330/x
  3. Step 3: Cross multiply
    38,401x = 83,330 × 83,330
  4. Step 4: Simplify right side
    38,401x = 6,943,888,900
  5. Step 5: Solve for x
    x = 6,943,888,900/38,401
  6. Step 6: Final answer
    x = 180,825.73

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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.