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Finding the Third Proportional to 38,225 and 81,682

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Solution

The third proportional to 38,225 and 81,682 is: 174,544.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,225 : 81,682 = 81,682 : x
  2. Step 2: Convert to fraction form
    38,225/81,682 = 81,682/x
  3. Step 3: Cross multiply
    38,225x = 81,682 × 81,682
  4. Step 4: Simplify right side
    38,225x = 6,671,949,124
  5. Step 5: Solve for x
    x = 6,671,949,124/38,225
  6. Step 6: Final answer
    x = 174,544.12

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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.