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Finding the Third Proportional to 4,094 and 5,829

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Solution

The third proportional to 4,094 and 5,829 is: 8,299.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,094 : 5,829 = 5,829 : x
  2. Step 2: Convert to fraction form
    4,094/5,829 = 5,829/x
  3. Step 3: Cross multiply
    4,094x = 5,829 × 5,829
  4. Step 4: Simplify right side
    4,094x = 33,977,241
  5. Step 5: Solve for x
    x = 33,977,241/4,094
  6. Step 6: Final answer
    x = 8,299.28

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.