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Finding the Third Proportional to 38,492 and 80,008

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Solution

The third proportional to 38,492 and 80,008 is: 166,301.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,492 : 80,008 = 80,008 : x
  2. Step 2: Convert to fraction form
    38,492/80,008 = 80,008/x
  3. Step 3: Cross multiply
    38,492x = 80,008 × 80,008
  4. Step 4: Simplify right side
    38,492x = 6,401,280,064
  5. Step 5: Solve for x
    x = 6,401,280,064/38,492
  6. Step 6: Final answer
    x = 166,301.57

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.