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Finding the Third Proportional to 13,147.41 and 28,299.56

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Solution

The third proportional to 13,147.41 and 28,299.56 is: 60,914.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,147.41 : 28,299.56 = 28,299.56 : x
  2. Step 2: Convert to fraction form
    13,147.41/28,299.56 = 28,299.56/x
  3. Step 3: Cross multiply
    13,147.41x = 28,299.56 × 28,299.56
  4. Step 4: Simplify right side
    13,147.41x = 800,865,237.69
  5. Step 5: Solve for x
    x = 800,865,237.69/13,147.41
  6. Step 6: Final answer
    x = 60,914.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.