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Finding the Third Proportional to 19,183.50 and 40,297.50

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Solution

The third proportional to 19,183.50 and 40,297.50 is: 84,650.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,183.50 : 40,297.50 = 40,297.50 : x
  2. Step 2: Convert to fraction form
    19,183.50/40,297.50 = 40,297.50/x
  3. Step 3: Cross multiply
    19,183.50x = 40,297.50 × 40,297.50
  4. Step 4: Simplify right side
    19,183.50x = 1,623,888,506.25
  5. Step 5: Solve for x
    x = 1,623,888,506.25/19,183.50
  6. Step 6: Final answer
    x = 84,650.27

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.