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Finding the Third Proportional to 7,824.56 and 11,806.31

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Solution

The third proportional to 7,824.56 and 11,806.31 is: 17,814.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,824.56 : 11,806.31 = 11,806.31 : x
  2. Step 2: Convert to fraction form
    7,824.56/11,806.31 = 11,806.31/x
  3. Step 3: Cross multiply
    7,824.56x = 11,806.31 × 11,806.31
  4. Step 4: Simplify right side
    7,824.56x = 139,389,014.85
  5. Step 5: Solve for x
    x = 139,389,014.85/7,824.56
  6. Step 6: Final answer
    x = 17,814.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.