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Finding the Third Proportional to 13,329.56 and 30,858.47

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Solution

The third proportional to 13,329.56 and 30,858.47 is: 71,438.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,329.56 : 30,858.47 = 30,858.47 : x
  2. Step 2: Convert to fraction form
    13,329.56/30,858.47 = 30,858.47/x
  3. Step 3: Cross multiply
    13,329.56x = 30,858.47 × 30,858.47
  4. Step 4: Simplify right side
    13,329.56x = 952,245,093.59
  5. Step 5: Solve for x
    x = 952,245,093.59/13,329.56
  6. Step 6: Final answer
    x = 71,438.59

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.