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Finding the Third Proportional to 23,590 and 50,869

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Solution

The third proportional to 23,590 and 50,869 is: 109,692.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,590 : 50,869 = 50,869 : x
  2. Step 2: Convert to fraction form
    23,590/50,869 = 50,869/x
  3. Step 3: Cross multiply
    23,590x = 50,869 × 50,869
  4. Step 4: Simplify right side
    23,590x = 2,587,655,161
  5. Step 5: Solve for x
    x = 2,587,655,161/23,590
  6. Step 6: Final answer
    x = 109,692.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.