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Finding the Third Proportional to 23,171 and 50,854

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Solution

The third proportional to 23,171 and 50,854 is: 111,610.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,171 : 50,854 = 50,854 : x
  2. Step 2: Convert to fraction form
    23,171/50,854 = 50,854/x
  3. Step 3: Cross multiply
    23,171x = 50,854 × 50,854
  4. Step 4: Simplify right side
    23,171x = 2,586,129,316
  5. Step 5: Solve for x
    x = 2,586,129,316/23,171
  6. Step 6: Final answer
    x = 111,610.60

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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.