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Finding the Third Proportional to 20,911.50 and 50,577

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Solution

The third proportional to 20,911.50 and 50,577 is: 122,326.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,911.50 : 50,577 = 50,577 : x
  2. Step 2: Convert to fraction form
    20,911.50/50,577 = 50,577/x
  3. Step 3: Cross multiply
    20,911.50x = 50,577 × 50,577
  4. Step 4: Simplify right side
    20,911.50x = 2,558,032,929
  5. Step 5: Solve for x
    x = 2,558,032,929/20,911.50
  6. Step 6: Final answer
    x = 122,326.61

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.