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Finding the Third Proportional to 23,262 and 50,462

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Solution

The third proportional to 23,262 and 50,462 is: 109,466.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,262 : 50,462 = 50,462 : x
  2. Step 2: Convert to fraction form
    23,262/50,462 = 50,462/x
  3. Step 3: Cross multiply
    23,262x = 50,462 × 50,462
  4. Step 4: Simplify right side
    23,262x = 2,546,413,444
  5. Step 5: Solve for x
    x = 2,546,413,444/23,262
  6. Step 6: Final answer
    x = 109,466.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.