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Finding the Third Proportional to 4,084.03 and 5,211.84

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Solution

The third proportional to 4,084.03 and 5,211.84 is: 6,651.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,084.03 : 5,211.84 = 5,211.84 : x
  2. Step 2: Convert to fraction form
    4,084.03/5,211.84 = 5,211.84/x
  3. Step 3: Cross multiply
    4,084.03x = 5,211.84 × 5,211.84
  4. Step 4: Simplify right side
    4,084.03x = 27,163,315.27
  5. Step 5: Solve for x
    x = 27,163,315.27/4,084.03
  6. Step 6: Final answer
    x = 6,651.10

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.