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Finding the Third Proportional to 5,856 and 12,279

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Solution

The third proportional to 5,856 and 12,279 is: 25,746.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,856 : 12,279 = 12,279 : x
  2. Step 2: Convert to fraction form
    5,856/12,279 = 12,279/x
  3. Step 3: Cross multiply
    5,856x = 12,279 × 12,279
  4. Step 4: Simplify right side
    5,856x = 150,773,841
  5. Step 5: Solve for x
    x = 150,773,841/5,856
  6. Step 6: Final answer
    x = 25,746.90

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.