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Finding the Third Proportional to 13,441.50 and 29,183.63

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Solution

The third proportional to 13,441.50 and 29,183.63 is: 63,362.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,441.50 : 29,183.63 = 29,183.63 : x
  2. Step 2: Convert to fraction form
    13,441.50/29,183.63 = 29,183.63/x
  3. Step 3: Cross multiply
    13,441.50x = 29,183.63 × 29,183.63
  4. Step 4: Simplify right side
    13,441.50x = 851,683,968.14
  5. Step 5: Solve for x
    x = 851,683,968.14/13,441.50
  6. Step 6: Final answer
    x = 63,362.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.