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Finding the Third Proportional to 4,847 and 7,688

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Solution

The third proportional to 4,847 and 7,688 is: 12,194.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,847 : 7,688 = 7,688 : x
  2. Step 2: Convert to fraction form
    4,847/7,688 = 7,688/x
  3. Step 3: Cross multiply
    4,847x = 7,688 × 7,688
  4. Step 4: Simplify right side
    4,847x = 59,105,344
  5. Step 5: Solve for x
    x = 59,105,344/4,847
  6. Step 6: Final answer
    x = 12,194.21

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.