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Finding the Third Proportional to 2,806.37 and 6,131.72

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Solution

The third proportional to 2,806.37 and 6,131.72 is: 13,397.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.37 : 6,131.72 = 6,131.72 : x
  2. Step 2: Convert to fraction form
    2,806.37/6,131.72 = 6,131.72/x
  3. Step 3: Cross multiply
    2,806.37x = 6,131.72 × 6,131.72
  4. Step 4: Simplify right side
    2,806.37x = 37,597,938.90
  5. Step 5: Solve for x
    x = 37,597,938.90/2,806.37
  6. Step 6: Final answer
    x = 13,397.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.