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Finding the Third Proportional to 7,928 and 12,738

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Solution

The third proportional to 7,928 and 12,738 is: 20,466.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,928 : 12,738 = 12,738 : x
  2. Step 2: Convert to fraction form
    7,928/12,738 = 12,738/x
  3. Step 3: Cross multiply
    7,928x = 12,738 × 12,738
  4. Step 4: Simplify right side
    7,928x = 162,256,644
  5. Step 5: Solve for x
    x = 162,256,644/7,928
  6. Step 6: Final answer
    x = 20,466.28

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.