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Finding the Third Proportional to 23,811 and 52,158

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Solution

The third proportional to 23,811 and 52,158 is: 114,252.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,811 : 52,158 = 52,158 : x
  2. Step 2: Convert to fraction form
    23,811/52,158 = 52,158/x
  3. Step 3: Cross multiply
    23,811x = 52,158 × 52,158
  4. Step 4: Simplify right side
    23,811x = 2,720,456,964
  5. Step 5: Solve for x
    x = 2,720,456,964/23,811
  6. Step 6: Final answer
    x = 114,252.11

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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.