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Finding the Third Proportional to 6,968 and 7,886

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Solution

The third proportional to 6,968 and 7,886 is: 8,924.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,968 : 7,886 = 7,886 : x
  2. Step 2: Convert to fraction form
    6,968/7,886 = 7,886/x
  3. Step 3: Cross multiply
    6,968x = 7,886 × 7,886
  4. Step 4: Simplify right side
    6,968x = 62,188,996
  5. Step 5: Solve for x
    x = 62,188,996/6,968
  6. Step 6: Final answer
    x = 8,924.94

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.