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Finding the Third Proportional to 38,188 and 81,848

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Solution

The third proportional to 38,188 and 81,848 is: 175,424.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,188 : 81,848 = 81,848 : x
  2. Step 2: Convert to fraction form
    38,188/81,848 = 81,848/x
  3. Step 3: Cross multiply
    38,188x = 81,848 × 81,848
  4. Step 4: Simplify right side
    38,188x = 6,699,095,104
  5. Step 5: Solve for x
    x = 6,699,095,104/38,188
  6. Step 6: Final answer
    x = 175,424.09

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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.