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Finding the Third Proportional to 6,069.94 and 8,325.28

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Solution

The third proportional to 6,069.94 and 8,325.28 is: 11,418.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,069.94 : 8,325.28 = 8,325.28 : x
  2. Step 2: Convert to fraction form
    6,069.94/8,325.28 = 8,325.28/x
  3. Step 3: Cross multiply
    6,069.94x = 8,325.28 × 8,325.28
  4. Step 4: Simplify right side
    6,069.94x = 69,310,307.89
  5. Step 5: Solve for x
    x = 69,310,307.89/6,069.94
  6. Step 6: Final answer
    x = 11,418.62

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.