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Finding the Third Proportional to 23,282 and 50,932

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Solution

The third proportional to 23,282 and 50,932 is: 111,419.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,282 : 50,932 = 50,932 : x
  2. Step 2: Convert to fraction form
    23,282/50,932 = 50,932/x
  3. Step 3: Cross multiply
    23,282x = 50,932 × 50,932
  4. Step 4: Simplify right side
    23,282x = 2,594,068,624
  5. Step 5: Solve for x
    x = 2,594,068,624/23,282
  6. Step 6: Final answer
    x = 111,419.49

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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.