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Finding the Third Proportional to 12,003 and 17,879.50

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Solution

The third proportional to 12,003 and 17,879.50 is: 26,633.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,003 : 17,879.50 = 17,879.50 : x
  2. Step 2: Convert to fraction form
    12,003/17,879.50 = 17,879.50/x
  3. Step 3: Cross multiply
    12,003x = 17,879.50 × 17,879.50
  4. Step 4: Simplify right side
    12,003x = 319,676,520.25
  5. Step 5: Solve for x
    x = 319,676,520.25/12,003
  6. Step 6: Final answer
    x = 26,633.05

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.