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Finding the Third Proportional to 19,198.69 and 29,066.34

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Solution

The third proportional to 19,198.69 and 29,066.34 is: 44,005.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,198.69 : 29,066.34 = 29,066.34 : x
  2. Step 2: Convert to fraction form
    19,198.69/29,066.34 = 29,066.34/x
  3. Step 3: Cross multiply
    19,198.69x = 29,066.34 × 29,066.34
  4. Step 4: Simplify right side
    19,198.69x = 844,852,338.99
  5. Step 5: Solve for x
    x = 844,852,338.99/19,198.69
  6. Step 6: Final answer
    x = 44,005.73

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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.