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Finding the Third Proportional to 2,856.94 and 6,247.88

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Solution

The third proportional to 2,856.94 and 6,247.88 is: 13,663.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.94 : 6,247.88 = 6,247.88 : x
  2. Step 2: Convert to fraction form
    2,856.94/6,247.88 = 6,247.88/x
  3. Step 3: Cross multiply
    2,856.94x = 6,247.88 × 6,247.88
  4. Step 4: Simplify right side
    2,856.94x = 39,035,942.02
  5. Step 5: Solve for x
    x = 39,035,942.02/2,856.94
  6. Step 6: Final answer
    x = 13,663.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.