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Finding the Third Proportional to 19,483.41 and 41,880.66

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Solution

The third proportional to 19,483.41 and 41,880.66 is: 90,024.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,483.41 : 41,880.66 = 41,880.66 : x
  2. Step 2: Convert to fraction form
    19,483.41/41,880.66 = 41,880.66/x
  3. Step 3: Cross multiply
    19,483.41x = 41,880.66 × 41,880.66
  4. Step 4: Simplify right side
    19,483.41x = 1,753,989,367.93
  5. Step 5: Solve for x
    x = 1,753,989,367.93/19,483.41
  6. Step 6: Final answer
    x = 90,024.78

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.