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Finding the Third Proportional to 13,993.38 and 29,780.79

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Solution

The third proportional to 13,993.38 and 29,780.79 is: 63,379.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,993.38 : 29,780.79 = 29,780.79 : x
  2. Step 2: Convert to fraction form
    13,993.38/29,780.79 = 29,780.79/x
  3. Step 3: Cross multiply
    13,993.38x = 29,780.79 × 29,780.79
  4. Step 4: Simplify right side
    13,993.38x = 886,895,397.19
  5. Step 5: Solve for x
    x = 886,895,397.19/13,993.38
  6. Step 6: Final answer
    x = 63,379.63

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.