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Finding the Third Proportional to 6,051 and 6,819

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Solution

The third proportional to 6,051 and 6,819 is: 7,684.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,051 : 6,819 = 6,819 : x
  2. Step 2: Convert to fraction form
    6,051/6,819 = 6,819/x
  3. Step 3: Cross multiply
    6,051x = 6,819 × 6,819
  4. Step 4: Simplify right side
    6,051x = 46,498,761
  5. Step 5: Solve for x
    x = 46,498,761/6,051
  6. Step 6: Final answer
    x = 7,684.48

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.