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Finding the Third Proportional to 21,984 and 50,100

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Solution

The third proportional to 21,984 and 50,100 is: 114,174.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,984 : 50,100 = 50,100 : x
  2. Step 2: Convert to fraction form
    21,984/50,100 = 50,100/x
  3. Step 3: Cross multiply
    21,984x = 50,100 × 50,100
  4. Step 4: Simplify right side
    21,984x = 2,510,010,000
  5. Step 5: Solve for x
    x = 2,510,010,000/21,984
  6. Step 6: Final answer
    x = 114,174.40

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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.