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Finding the Third Proportional to 2,889.42 and 6,336.98

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Solution

The third proportional to 2,889.42 and 6,336.98 is: 13,898.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,889.42 : 6,336.98 = 6,336.98 : x
  2. Step 2: Convert to fraction form
    2,889.42/6,336.98 = 6,336.98/x
  3. Step 3: Cross multiply
    2,889.42x = 6,336.98 × 6,336.98
  4. Step 4: Simplify right side
    2,889.42x = 40,157,370.97
  5. Step 5: Solve for x
    x = 40,157,370.97/2,889.42
  6. Step 6: Final answer
    x = 13,898.06

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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.