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Finding the Third Proportional to 6,774 and 16,050

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Solution

The third proportional to 6,774 and 16,050 is: 38,028.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,774 : 16,050 = 16,050 : x
  2. Step 2: Convert to fraction form
    6,774/16,050 = 16,050/x
  3. Step 3: Cross multiply
    6,774x = 16,050 × 16,050
  4. Step 4: Simplify right side
    6,774x = 257,602,500
  5. Step 5: Solve for x
    x = 257,602,500/6,774
  6. Step 6: Final answer
    x = 38,028.12

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.