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Finding the Third Proportional to 38,828 and 84,925

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Solution

The third proportional to 38,828 and 84,925 is: 185,748.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,828 : 84,925 = 84,925 : x
  2. Step 2: Convert to fraction form
    38,828/84,925 = 84,925/x
  3. Step 3: Cross multiply
    38,828x = 84,925 × 84,925
  4. Step 4: Simplify right side
    38,828x = 7,212,255,625
  5. Step 5: Solve for x
    x = 7,212,255,625/38,828
  6. Step 6: Final answer
    x = 185,748.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.