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Finding the Third Proportional to 12,003.19 and 16,445.53

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Solution

The third proportional to 12,003.19 and 16,445.53 is: 22,531.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,003.19 : 16,445.53 = 16,445.53 : x
  2. Step 2: Convert to fraction form
    12,003.19/16,445.53 = 16,445.53/x
  3. Step 3: Cross multiply
    12,003.19x = 16,445.53 × 16,445.53
  4. Step 4: Simplify right side
    12,003.19x = 270,455,498.09
  5. Step 5: Solve for x
    x = 270,455,498.09/12,003.19
  6. Step 6: Final answer
    x = 22,531.97

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.