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Finding the Third Proportional to 36,939.38 and 76,506.19

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Solution

The third proportional to 36,939.38 and 76,506.19 is: 158,454.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,939.38 : 76,506.19 = 76,506.19 : x
  2. Step 2: Convert to fraction form
    36,939.38/76,506.19 = 76,506.19/x
  3. Step 3: Cross multiply
    36,939.38x = 76,506.19 × 76,506.19
  4. Step 4: Simplify right side
    36,939.38x = 5,853,196,725.79
  5. Step 5: Solve for x
    x = 5,853,196,725.79/36,939.38
  6. Step 6: Final answer
    x = 158,454.14

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.