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Finding the Third Proportional to 23,252 and 50,224

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Solution

The third proportional to 23,252 and 50,224 is: 108,483.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,252 : 50,224 = 50,224 : x
  2. Step 2: Convert to fraction form
    23,252/50,224 = 50,224/x
  3. Step 3: Cross multiply
    23,252x = 50,224 × 50,224
  4. Step 4: Simplify right side
    23,252x = 2,522,450,176
  5. Step 5: Solve for x
    x = 2,522,450,176/23,252
  6. Step 6: Final answer
    x = 108,483.15

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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.