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Finding the Third Proportional to 43,818 and 68,647

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Solution

The third proportional to 43,818 and 68,647 is: 107,545.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,818 : 68,647 = 68,647 : x
  2. Step 2: Convert to fraction form
    43,818/68,647 = 68,647/x
  3. Step 3: Cross multiply
    43,818x = 68,647 × 68,647
  4. Step 4: Simplify right side
    43,818x = 4,712,410,609
  5. Step 5: Solve for x
    x = 4,712,410,609/43,818
  6. Step 6: Final answer
    x = 107,545.09

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.