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Finding the Third Proportional to 38,914.75 and 58,371.75

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Solution

The third proportional to 38,914.75 and 58,371.75 is: 87,557.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,914.75 : 58,371.75 = 58,371.75 : x
  2. Step 2: Convert to fraction form
    38,914.75/58,371.75 = 58,371.75/x
  3. Step 3: Cross multiply
    38,914.75x = 58,371.75 × 58,371.75
  4. Step 4: Simplify right side
    38,914.75x = 3,407,261,198.06
  5. Step 5: Solve for x
    x = 3,407,261,198.06/38,914.75
  6. Step 6: Final answer
    x = 87,557.06

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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.