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Finding the Third Proportional to 38,939.63 and 85,249.13

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Solution

The third proportional to 38,939.63 and 85,249.13 is: 186,632.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,939.63 : 85,249.13 = 85,249.13 : x
  2. Step 2: Convert to fraction form
    38,939.63/85,249.13 = 85,249.13/x
  3. Step 3: Cross multiply
    38,939.63x = 85,249.13 × 85,249.13
  4. Step 4: Simplify right side
    38,939.63x = 7,267,413,313.27
  5. Step 5: Solve for x
    x = 7,267,413,313.27/38,939.63
  6. Step 6: Final answer
    x = 186,632.85

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.