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Finding the Third Proportional to 17,794.69 and 41,677.03

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Solution

The third proportional to 17,794.69 and 41,677.03 is: 97,611.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,794.69 : 41,677.03 = 41,677.03 : x
  2. Step 2: Convert to fraction form
    17,794.69/41,677.03 = 41,677.03/x
  3. Step 3: Cross multiply
    17,794.69x = 41,677.03 × 41,677.03
  4. Step 4: Simplify right side
    17,794.69x = 1,736,974,933.81
  5. Step 5: Solve for x
    x = 1,736,974,933.81/17,794.69
  6. Step 6: Final answer
    x = 97,611.99

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.