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Finding the Third Proportional to 12,146.63 and 24,900.75

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Solution

The third proportional to 12,146.63 and 24,900.75 is: 51,046.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,146.63 : 24,900.75 = 24,900.75 : x
  2. Step 2: Convert to fraction form
    12,146.63/24,900.75 = 24,900.75/x
  3. Step 3: Cross multiply
    12,146.63x = 24,900.75 × 24,900.75
  4. Step 4: Simplify right side
    12,146.63x = 620,047,350.56
  5. Step 5: Solve for x
    x = 620,047,350.56/12,146.63
  6. Step 6: Final answer
    x = 51,046.88

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.