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Finding the Third Proportional to 6,812 and 14,050

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Solution

The third proportional to 6,812 and 14,050 is: 28,978.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,812 : 14,050 = 14,050 : x
  2. Step 2: Convert to fraction form
    6,812/14,050 = 14,050/x
  3. Step 3: Cross multiply
    6,812x = 14,050 × 14,050
  4. Step 4: Simplify right side
    6,812x = 197,402,500
  5. Step 5: Solve for x
    x = 197,402,500/6,812
  6. Step 6: Final answer
    x = 28,978.64

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.