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Finding the Third Proportional to 38,211 and 81,341

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Solution

The third proportional to 38,211 and 81,341 is: 173,153.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,211 : 81,341 = 81,341 : x
  2. Step 2: Convert to fraction form
    38,211/81,341 = 81,341/x
  3. Step 3: Cross multiply
    38,211x = 81,341 × 81,341
  4. Step 4: Simplify right side
    38,211x = 6,616,358,281
  5. Step 5: Solve for x
    x = 6,616,358,281/38,211
  6. Step 6: Final answer
    x = 173,153.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.