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Finding the Third Proportional to 12,954.09 and 20,003.63

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Solution

The third proportional to 12,954.09 and 20,003.63 is: 30,889.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,954.09 : 20,003.63 = 20,003.63 : x
  2. Step 2: Convert to fraction form
    12,954.09/20,003.63 = 20,003.63/x
  3. Step 3: Cross multiply
    12,954.09x = 20,003.63 × 20,003.63
  4. Step 4: Simplify right side
    12,954.09x = 400,145,013.14
  5. Step 5: Solve for x
    x = 400,145,013.14/12,954.09
  6. Step 6: Final answer
    x = 30,889.46

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.