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Finding the Third Proportional to 23,811 and 51,854

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Solution

The third proportional to 23,811 and 51,854 is: 112,924.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,811 : 51,854 = 51,854 : x
  2. Step 2: Convert to fraction form
    23,811/51,854 = 51,854/x
  3. Step 3: Cross multiply
    23,811x = 51,854 × 51,854
  4. Step 4: Simplify right side
    23,811x = 2,688,837,316
  5. Step 5: Solve for x
    x = 2,688,837,316/23,811
  6. Step 6: Final answer
    x = 112,924.17

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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.