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Finding the Third Proportional to 7,708 and 16,925

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Solution

The third proportional to 7,708 and 16,925 is: 37,163.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,708 : 16,925 = 16,925 : x
  2. Step 2: Convert to fraction form
    7,708/16,925 = 16,925/x
  3. Step 3: Cross multiply
    7,708x = 16,925 × 16,925
  4. Step 4: Simplify right side
    7,708x = 286,455,625
  5. Step 5: Solve for x
    x = 286,455,625/7,708
  6. Step 6: Final answer
    x = 37,163.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.