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Finding the Third Proportional to 38,100 and 81,696

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Solution

The third proportional to 38,100 and 81,696 is: 175,176.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,100 : 81,696 = 81,696 : x
  2. Step 2: Convert to fraction form
    38,100/81,696 = 81,696/x
  3. Step 3: Cross multiply
    38,100x = 81,696 × 81,696
  4. Step 4: Simplify right side
    38,100x = 6,674,236,416
  5. Step 5: Solve for x
    x = 6,674,236,416/38,100
  6. Step 6: Final answer
    x = 175,176.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.