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Finding the Third Proportional to 3,738.94 and 7,865.16

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Solution

The third proportional to 3,738.94 and 7,865.16 is: 16,544.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,738.94 : 7,865.16 = 7,865.16 : x
  2. Step 2: Convert to fraction form
    3,738.94/7,865.16 = 7,865.16/x
  3. Step 3: Cross multiply
    3,738.94x = 7,865.16 × 7,865.16
  4. Step 4: Simplify right side
    3,738.94x = 61,860,682.84
  5. Step 5: Solve for x
    x = 61,860,682.84/3,738.94
  6. Step 6: Final answer
    x = 16,544.99

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.