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Finding the Third Proportional to 4,051 and 5,917

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Solution

The third proportional to 4,051 and 5,917 is: 8,642.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,051 : 5,917 = 5,917 : x
  2. Step 2: Convert to fraction form
    4,051/5,917 = 5,917/x
  3. Step 3: Cross multiply
    4,051x = 5,917 × 5,917
  4. Step 4: Simplify right side
    4,051x = 35,010,889
  5. Step 5: Solve for x
    x = 35,010,889/4,051
  6. Step 6: Final answer
    x = 8,642.53

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.