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Finding the Third Proportional to 30,169.13 and 49,992.19

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Solution

The third proportional to 30,169.13 and 49,992.19 is: 82,840.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,169.13 : 49,992.19 = 49,992.19 : x
  2. Step 2: Convert to fraction form
    30,169.13/49,992.19 = 49,992.19/x
  3. Step 3: Cross multiply
    30,169.13x = 49,992.19 × 49,992.19
  4. Step 4: Simplify right side
    30,169.13x = 2,499,218,811.04
  5. Step 5: Solve for x
    x = 2,499,218,811.04/30,169.13
  6. Step 6: Final answer
    x = 82,840.28

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.