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Finding the Third Proportional to 14,380.22 and 30,759.56

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Solution

The third proportional to 14,380.22 and 30,759.56 is: 65,795.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,380.22 : 30,759.56 = 30,759.56 : x
  2. Step 2: Convert to fraction form
    14,380.22/30,759.56 = 30,759.56/x
  3. Step 3: Cross multiply
    14,380.22x = 30,759.56 × 30,759.56
  4. Step 4: Simplify right side
    14,380.22x = 946,150,685.19
  5. Step 5: Solve for x
    x = 946,150,685.19/14,380.22
  6. Step 6: Final answer
    x = 65,795.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.