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Finding the Third Proportional to 38,824 and 58,176

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Solution

The third proportional to 38,824 and 58,176 is: 87,174.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,824 : 58,176 = 58,176 : x
  2. Step 2: Convert to fraction form
    38,824/58,176 = 58,176/x
  3. Step 3: Cross multiply
    38,824x = 58,176 × 58,176
  4. Step 4: Simplify right side
    38,824x = 3,384,446,976
  5. Step 5: Solve for x
    x = 3,384,446,976/38,824
  6. Step 6: Final answer
    x = 87,174.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.