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Finding the Third Proportional to 8,028 and 16,700

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Solution

The third proportional to 8,028 and 16,700 is: 34,739.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,028 : 16,700 = 16,700 : x
  2. Step 2: Convert to fraction form
    8,028/16,700 = 16,700/x
  3. Step 3: Cross multiply
    8,028x = 16,700 × 16,700
  4. Step 4: Simplify right side
    8,028x = 278,890,000
  5. Step 5: Solve for x
    x = 278,890,000/8,028
  6. Step 6: Final answer
    x = 34,739.66

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.