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Finding the Third Proportional to 38,848 and 84,224

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Solution

The third proportional to 38,848 and 84,224 is: 182,600.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,848 : 84,224 = 84,224 : x
  2. Step 2: Convert to fraction form
    38,848/84,224 = 84,224/x
  3. Step 3: Cross multiply
    38,848x = 84,224 × 84,224
  4. Step 4: Simplify right side
    38,848x = 7,093,682,176
  5. Step 5: Solve for x
    x = 7,093,682,176/38,848
  6. Step 6: Final answer
    x = 182,600.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.