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Finding the Third Proportional to 5,151 and 5,907

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Solution

The third proportional to 5,151 and 5,907 is: 6,773.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,151 : 5,907 = 5,907 : x
  2. Step 2: Convert to fraction form
    5,151/5,907 = 5,907/x
  3. Step 3: Cross multiply
    5,151x = 5,907 × 5,907
  4. Step 4: Simplify right side
    5,151x = 34,892,649
  5. Step 5: Solve for x
    x = 34,892,649/5,151
  6. Step 6: Final answer
    x = 6,773.96

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.