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Finding the Third Proportional to 12,003.19 and 16,245.56

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Solution

The third proportional to 12,003.19 and 16,245.56 is: 21,987.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,003.19 : 16,245.56 = 16,245.56 : x
  2. Step 2: Convert to fraction form
    12,003.19/16,245.56 = 16,245.56/x
  3. Step 3: Cross multiply
    12,003.19x = 16,245.56 × 16,245.56
  4. Step 4: Simplify right side
    12,003.19x = 263,918,300.94
  5. Step 5: Solve for x
    x = 263,918,300.94/12,003.19
  6. Step 6: Final answer
    x = 21,987.35

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.