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Finding the Third Proportional to 6,876 and 14,271.75

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Solution

The third proportional to 6,876 and 14,271.75 is: 29,622.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,876 : 14,271.75 = 14,271.75 : x
  2. Step 2: Convert to fraction form
    6,876/14,271.75 = 14,271.75/x
  3. Step 3: Cross multiply
    6,876x = 14,271.75 × 14,271.75
  4. Step 4: Simplify right side
    6,876x = 203,682,848.06
  5. Step 5: Solve for x
    x = 203,682,848.06/6,876
  6. Step 6: Final answer
    x = 29,622.29

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.