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Finding the Third Proportional to 13,177.69 and 30,369.94

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Solution

The third proportional to 13,177.69 and 30,369.94 is: 69,992.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,177.69 : 30,369.94 = 30,369.94 : x
  2. Step 2: Convert to fraction form
    13,177.69/30,369.94 = 30,369.94/x
  3. Step 3: Cross multiply
    13,177.69x = 30,369.94 × 30,369.94
  4. Step 4: Simplify right side
    13,177.69x = 922,333,103.75
  5. Step 5: Solve for x
    x = 922,333,103.75/13,177.69
  6. Step 6: Final answer
    x = 69,992.03

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.