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Finding the Third Proportional to 38,612.25 and 60,174

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Solution

The third proportional to 38,612.25 and 60,174 is: 93,776.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,612.25 : 60,174 = 60,174 : x
  2. Step 2: Convert to fraction form
    38,612.25/60,174 = 60,174/x
  3. Step 3: Cross multiply
    38,612.25x = 60,174 × 60,174
  4. Step 4: Simplify right side
    38,612.25x = 3,620,910,276
  5. Step 5: Solve for x
    x = 3,620,910,276/38,612.25
  6. Step 6: Final answer
    x = 93,776.21

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.