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Finding the Third Proportional to 38,370.38 and 59,195.81

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Solution

The third proportional to 38,370.38 and 59,195.81 is: 91,324.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,370.38 : 59,195.81 = 59,195.81 : x
  2. Step 2: Convert to fraction form
    38,370.38/59,195.81 = 59,195.81/x
  3. Step 3: Cross multiply
    38,370.38x = 59,195.81 × 59,195.81
  4. Step 4: Simplify right side
    38,370.38x = 3,504,144,217.54
  5. Step 5: Solve for x
    x = 3,504,144,217.54/38,370.38
  6. Step 6: Final answer
    x = 91,324.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.