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Finding the Third Proportional to 19,216.50 and 41,911.50

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Solution

The third proportional to 19,216.50 and 41,911.50 is: 91,409.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,216.50 : 41,911.50 = 41,911.50 : x
  2. Step 2: Convert to fraction form
    19,216.50/41,911.50 = 41,911.50/x
  3. Step 3: Cross multiply
    19,216.50x = 41,911.50 × 41,911.50
  4. Step 4: Simplify right side
    19,216.50x = 1,756,573,832.25
  5. Step 5: Solve for x
    x = 1,756,573,832.25/19,216.50
  6. Step 6: Final answer
    x = 91,409.67

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.