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Finding the Third Proportional to 22,638 and 50,460

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Solution

The third proportional to 22,638 and 50,460 is: 112,475.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,638 : 50,460 = 50,460 : x
  2. Step 2: Convert to fraction form
    22,638/50,460 = 50,460/x
  3. Step 3: Cross multiply
    22,638x = 50,460 × 50,460
  4. Step 4: Simplify right side
    22,638x = 2,546,211,600
  5. Step 5: Solve for x
    x = 2,546,211,600/22,638
  6. Step 6: Final answer
    x = 112,475.11

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.