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Finding the Third Proportional to 19,077.50 and 29,183.25

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Solution

The third proportional to 19,077.50 and 29,183.25 is: 44,642.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,077.50 : 29,183.25 = 29,183.25 : x
  2. Step 2: Convert to fraction form
    19,077.50/29,183.25 = 29,183.25/x
  3. Step 3: Cross multiply
    19,077.50x = 29,183.25 × 29,183.25
  4. Step 4: Simplify right side
    19,077.50x = 851,662,080.56
  5. Step 5: Solve for x
    x = 851,662,080.56/19,077.50
  6. Step 6: Final answer
    x = 44,642.23

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.