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Finding the Third Proportional to 17,800.50 and 25,782.75

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Solution

The third proportional to 17,800.50 and 25,782.75 is: 37,344.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,800.50 : 25,782.75 = 25,782.75 : x
  2. Step 2: Convert to fraction form
    17,800.50/25,782.75 = 25,782.75/x
  3. Step 3: Cross multiply
    17,800.50x = 25,782.75 × 25,782.75
  4. Step 4: Simplify right side
    17,800.50x = 664,750,197.56
  5. Step 5: Solve for x
    x = 664,750,197.56/17,800.50
  6. Step 6: Final answer
    x = 37,344.47

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.