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Finding the Third Proportional to 6,650 and 11,950

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Solution

The third proportional to 6,650 and 11,950 is: 21,474.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,650 : 11,950 = 11,950 : x
  2. Step 2: Convert to fraction form
    6,650/11,950 = 11,950/x
  3. Step 3: Cross multiply
    6,650x = 11,950 × 11,950
  4. Step 4: Simplify right side
    6,650x = 142,802,500
  5. Step 5: Solve for x
    x = 142,802,500/6,650
  6. Step 6: Final answer
    x = 21,474.06

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.