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Finding the Third Proportional to 2,856.94 and 6,137.44

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Solution

The third proportional to 2,856.94 and 6,137.44 is: 13,184.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.94 : 6,137.44 = 6,137.44 : x
  2. Step 2: Convert to fraction form
    2,856.94/6,137.44 = 6,137.44/x
  3. Step 3: Cross multiply
    2,856.94x = 6,137.44 × 6,137.44
  4. Step 4: Simplify right side
    2,856.94x = 37,668,139.07
  5. Step 5: Solve for x
    x = 37,668,139.07/2,856.94
  6. Step 6: Final answer
    x = 13,184.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.