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Finding the Third Proportional to 4,069.13 and 8,354.25

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Solution

The third proportional to 4,069.13 and 8,354.25 is: 17,151.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,069.13 : 8,354.25 = 8,354.25 : x
  2. Step 2: Convert to fraction form
    4,069.13/8,354.25 = 8,354.25/x
  3. Step 3: Cross multiply
    4,069.13x = 8,354.25 × 8,354.25
  4. Step 4: Simplify right side
    4,069.13x = 69,793,493.06
  5. Step 5: Solve for x
    x = 69,793,493.06/4,069.13
  6. Step 6: Final answer
    x = 17,151.97

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.