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Finding the Third Proportional to 19,072.13 and 29,769.19

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Solution

The third proportional to 19,072.13 and 29,769.19 is: 46,465.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,072.13 : 29,769.19 = 29,769.19 : x
  2. Step 2: Convert to fraction form
    19,072.13/29,769.19 = 29,769.19/x
  3. Step 3: Cross multiply
    19,072.13x = 29,769.19 × 29,769.19
  4. Step 4: Simplify right side
    19,072.13x = 886,204,524.41
  5. Step 5: Solve for x
    x = 886,204,524.41/19,072.13
  6. Step 6: Final answer
    x = 46,465.96

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.