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Finding the Third Proportional to 21,994 and 50,122

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Solution

The third proportional to 21,994 and 50,122 is: 114,222.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,994 : 50,122 = 50,122 : x
  2. Step 2: Convert to fraction form
    21,994/50,122 = 50,122/x
  3. Step 3: Cross multiply
    21,994x = 50,122 × 50,122
  4. Step 4: Simplify right side
    21,994x = 2,512,214,884
  5. Step 5: Solve for x
    x = 2,512,214,884/21,994
  6. Step 6: Final answer
    x = 114,222.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.