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Finding the Third Proportional to 5,113 and 11,183

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Solution

The third proportional to 5,113 and 11,183 is: 24,459.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,113 : 11,183 = 11,183 : x
  2. Step 2: Convert to fraction form
    5,113/11,183 = 11,183/x
  3. Step 3: Cross multiply
    5,113x = 11,183 × 11,183
  4. Step 4: Simplify right side
    5,113x = 125,059,489
  5. Step 5: Solve for x
    x = 125,059,489/5,113
  6. Step 6: Final answer
    x = 24,459.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.