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Finding the Third Proportional to 3,069.77 and 6,774.57

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Solution

The third proportional to 3,069.77 and 6,774.57 is: 14,950.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,069.77 : 6,774.57 = 6,774.57 : x
  2. Step 2: Convert to fraction form
    3,069.77/6,774.57 = 6,774.57/x
  3. Step 3: Cross multiply
    3,069.77x = 6,774.57 × 6,774.57
  4. Step 4: Simplify right side
    3,069.77x = 45,894,855.85
  5. Step 5: Solve for x
    x = 45,894,855.85/3,069.77
  6. Step 6: Final answer
    x = 14,950.57

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.