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Finding the Third Proportional to 7,825.75 and 16,978.44

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Solution

The third proportional to 7,825.75 and 16,978.44 is: 36,835.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,825.75 : 16,978.44 = 16,978.44 : x
  2. Step 2: Convert to fraction form
    7,825.75/16,978.44 = 16,978.44/x
  3. Step 3: Cross multiply
    7,825.75x = 16,978.44 × 16,978.44
  4. Step 4: Simplify right side
    7,825.75x = 288,267,339.94
  5. Step 5: Solve for x
    x = 288,267,339.94/7,825.75
  6. Step 6: Final answer
    x = 36,835.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.