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Finding the Third Proportional to 16,139.25 and 23,245.31

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Solution

The third proportional to 16,139.25 and 23,245.31 is: 33,480.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,139.25 : 23,245.31 = 23,245.31 : x
  2. Step 2: Convert to fraction form
    16,139.25/23,245.31 = 23,245.31/x
  3. Step 3: Cross multiply
    16,139.25x = 23,245.31 × 23,245.31
  4. Step 4: Simplify right side
    16,139.25x = 540,344,553.22
  5. Step 5: Solve for x
    x = 540,344,553.22/16,139.25
  6. Step 6: Final answer
    x = 33,480.15

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.