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Finding the Third Proportional to 20,782.50 and 44,519

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Solution

The third proportional to 20,782.50 and 44,519 is: 95,365.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,782.50 : 44,519 = 44,519 : x
  2. Step 2: Convert to fraction form
    20,782.50/44,519 = 44,519/x
  3. Step 3: Cross multiply
    20,782.50x = 44,519 × 44,519
  4. Step 4: Simplify right side
    20,782.50x = 1,981,941,361
  5. Step 5: Solve for x
    x = 1,981,941,361/20,782.50
  6. Step 6: Final answer
    x = 95,365.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.