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Finding the Third Proportional to 12,900.94 and 20,525.06

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Solution

The third proportional to 12,900.94 and 20,525.06 is: 32,654.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,900.94 : 20,525.06 = 20,525.06 : x
  2. Step 2: Convert to fraction form
    12,900.94/20,525.06 = 20,525.06/x
  3. Step 3: Cross multiply
    12,900.94x = 20,525.06 × 20,525.06
  4. Step 4: Simplify right side
    12,900.94x = 421,278,190.63
  5. Step 5: Solve for x
    x = 421,278,190.63/12,900.94
  6. Step 6: Final answer
    x = 32,654.85

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.