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Finding the Third Proportional to 3,477.94 and 8,370.21

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Solution

The third proportional to 3,477.94 and 8,370.21 is: 20,144.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477.94 : 8,370.21 = 8,370.21 : x
  2. Step 2: Convert to fraction form
    3,477.94/8,370.21 = 8,370.21/x
  3. Step 3: Cross multiply
    3,477.94x = 8,370.21 × 8,370.21
  4. Step 4: Simplify right side
    3,477.94x = 70,060,431.14
  5. Step 5: Solve for x
    x = 70,060,431.14/3,477.94
  6. Step 6: Final answer
    x = 20,144.25

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.