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Finding the Third Proportional to 10,183.22 and 14,420.53

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Solution

The third proportional to 10,183.22 and 14,420.53 is: 20,421.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,183.22 : 14,420.53 = 14,420.53 : x
  2. Step 2: Convert to fraction form
    10,183.22/14,420.53 = 14,420.53/x
  3. Step 3: Cross multiply
    10,183.22x = 14,420.53 × 14,420.53
  4. Step 4: Simplify right side
    10,183.22x = 207,951,721.53
  5. Step 5: Solve for x
    x = 207,951,721.53/10,183.22
  6. Step 6: Final answer
    x = 20,421.02

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.