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Finding the Third Proportional to 19,441.69 and 40,841.81

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Solution

The third proportional to 19,441.69 and 40,841.81 is: 85,797.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,441.69 : 40,841.81 = 40,841.81 : x
  2. Step 2: Convert to fraction form
    19,441.69/40,841.81 = 40,841.81/x
  3. Step 3: Cross multiply
    19,441.69x = 40,841.81 × 40,841.81
  4. Step 4: Simplify right side
    19,441.69x = 1,668,053,648.29
  5. Step 5: Solve for x
    x = 1,668,053,648.29/19,441.69
  6. Step 6: Final answer
    x = 85,797.78

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.