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Finding the Third Proportional to 7,783 and 16,325

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Solution

The third proportional to 7,783 and 16,325 is: 34,242.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,783 : 16,325 = 16,325 : x
  2. Step 2: Convert to fraction form
    7,783/16,325 = 16,325/x
  3. Step 3: Cross multiply
    7,783x = 16,325 × 16,325
  4. Step 4: Simplify right side
    7,783x = 266,505,625
  5. Step 5: Solve for x
    x = 266,505,625/7,783
  6. Step 6: Final answer
    x = 34,242.02

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.