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Finding the Third Proportional to 23,132 and 50,441

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Solution

The third proportional to 23,132 and 50,441 is: 109,990.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,132 : 50,441 = 50,441 : x
  2. Step 2: Convert to fraction form
    23,132/50,441 = 50,441/x
  3. Step 3: Cross multiply
    23,132x = 50,441 × 50,441
  4. Step 4: Simplify right side
    23,132x = 2,544,294,481
  5. Step 5: Solve for x
    x = 2,544,294,481/23,132
  6. Step 6: Final answer
    x = 109,990.25

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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.