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Finding the Third Proportional to 19,694.99 and 29,776.96

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Solution

The third proportional to 19,694.99 and 29,776.96 is: 45,019.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,694.99 : 29,776.96 = 29,776.96 : x
  2. Step 2: Convert to fraction form
    19,694.99/29,776.96 = 29,776.96/x
  3. Step 3: Cross multiply
    19,694.99x = 29,776.96 × 29,776.96
  4. Step 4: Simplify right side
    19,694.99x = 886,667,170.04
  5. Step 5: Solve for x
    x = 886,667,170.04/19,694.99
  6. Step 6: Final answer
    x = 45,019.94

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.