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Finding the Third Proportional to 19,443 and 41,649.75

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Solution

The third proportional to 19,443 and 41,649.75 is: 89,219.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,443 : 41,649.75 = 41,649.75 : x
  2. Step 2: Convert to fraction form
    19,443/41,649.75 = 41,649.75/x
  3. Step 3: Cross multiply
    19,443x = 41,649.75 × 41,649.75
  4. Step 4: Simplify right side
    19,443x = 1,734,701,675.06
  5. Step 5: Solve for x
    x = 1,734,701,675.06/19,443
  6. Step 6: Final answer
    x = 89,219.86

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.