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Finding the Third Proportional to 3,464.63 and 8,352.94

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Solution

The third proportional to 3,464.63 and 8,352.94 is: 20,138.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.63 : 8,352.94 = 8,352.94 : x
  2. Step 2: Convert to fraction form
    3,464.63/8,352.94 = 8,352.94/x
  3. Step 3: Cross multiply
    3,464.63x = 8,352.94 × 8,352.94
  4. Step 4: Simplify right side
    3,464.63x = 69,771,564.88
  5. Step 5: Solve for x
    x = 69,771,564.88/3,464.63
  6. Step 6: Final answer
    x = 20,138.27

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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.