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Finding the Third Proportional to 38,211.75 and 58,107.38

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Solution

The third proportional to 38,211.75 and 58,107.38 is: 88,362.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,211.75 : 58,107.38 = 58,107.38 : x
  2. Step 2: Convert to fraction form
    38,211.75/58,107.38 = 58,107.38/x
  3. Step 3: Cross multiply
    38,211.75x = 58,107.38 × 58,107.38
  4. Step 4: Simplify right side
    38,211.75x = 3,376,467,029.39
  5. Step 5: Solve for x
    x = 3,376,467,029.39/38,211.75
  6. Step 6: Final answer
    x = 88,362.01

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.