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Finding the Third Proportional to 38,000 and 81,832

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Solution

The third proportional to 38,000 and 81,832 is: 176,223.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,000 : 81,832 = 81,832 : x
  2. Step 2: Convert to fraction form
    38,000/81,832 = 81,832/x
  3. Step 3: Cross multiply
    38,000x = 81,832 × 81,832
  4. Step 4: Simplify right side
    38,000x = 6,696,476,224
  5. Step 5: Solve for x
    x = 6,696,476,224/38,000
  6. Step 6: Final answer
    x = 176,223.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.