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Finding the Third Proportional to 10,811 and 23,516

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Solution

The third proportional to 10,811 and 23,516 is: 51,151.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,811 : 23,516 = 23,516 : x
  2. Step 2: Convert to fraction form
    10,811/23,516 = 23,516/x
  3. Step 3: Cross multiply
    10,811x = 23,516 × 23,516
  4. Step 4: Simplify right side
    10,811x = 553,002,256
  5. Step 5: Solve for x
    x = 553,002,256/10,811
  6. Step 6: Final answer
    x = 51,151.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.