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Finding the Third Proportional to 18,711 and 41,097.38

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Solution

The third proportional to 18,711 and 41,097.38 is: 90,267.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,711 : 41,097.38 = 41,097.38 : x
  2. Step 2: Convert to fraction form
    18,711/41,097.38 = 41,097.38/x
  3. Step 3: Cross multiply
    18,711x = 41,097.38 × 41,097.38
  4. Step 4: Simplify right side
    18,711x = 1,688,994,231.89
  5. Step 5: Solve for x
    x = 1,688,994,231.89/18,711
  6. Step 6: Final answer
    x = 90,267.45

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.