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Finding the Third Proportional to 6,925 and 8,221

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Solution

The third proportional to 6,925 and 8,221 is: 9,759.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,925 : 8,221 = 8,221 : x
  2. Step 2: Convert to fraction form
    6,925/8,221 = 8,221/x
  3. Step 3: Cross multiply
    6,925x = 8,221 × 8,221
  4. Step 4: Simplify right side
    6,925x = 67,584,841
  5. Step 5: Solve for x
    x = 67,584,841/6,925
  6. Step 6: Final answer
    x = 9,759.54

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Why These Related Problems?

These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.