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Finding the Third Proportional to 6,045 and 6,855

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Solution

The third proportional to 6,045 and 6,855 is: 7,773.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,045 : 6,855 = 6,855 : x
  2. Step 2: Convert to fraction form
    6,045/6,855 = 6,855/x
  3. Step 3: Cross multiply
    6,045x = 6,855 × 6,855
  4. Step 4: Simplify right side
    6,045x = 46,991,025
  5. Step 5: Solve for x
    x = 46,991,025/6,045
  6. Step 6: Final answer
    x = 7,773.54

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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.