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Finding the Third Proportional to 19,819.69 and 41,868.14

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Solution

The third proportional to 19,819.69 and 41,868.14 is: 88,444.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,819.69 : 41,868.14 = 41,868.14 : x
  2. Step 2: Convert to fraction form
    19,819.69/41,868.14 = 41,868.14/x
  3. Step 3: Cross multiply
    19,819.69x = 41,868.14 × 41,868.14
  4. Step 4: Simplify right side
    19,819.69x = 1,752,941,199.39
  5. Step 5: Solve for x
    x = 1,752,941,199.39/19,819.69
  6. Step 6: Final answer
    x = 88,444.44

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.