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Finding the Third Proportional to 12,052.13 and 24,944.63

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Solution

The third proportional to 12,052.13 and 24,944.63 is: 51,628.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,052.13 : 24,944.63 = 24,944.63 : x
  2. Step 2: Convert to fraction form
    12,052.13/24,944.63 = 24,944.63/x
  3. Step 3: Cross multiply
    12,052.13x = 24,944.63 × 24,944.63
  4. Step 4: Simplify right side
    12,052.13x = 622,234,316.39
  5. Step 5: Solve for x
    x = 622,234,316.39/12,052.13
  6. Step 6: Final answer
    x = 51,628.60

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.