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Finding the Third Proportional to 12,076.59 and 24,494.27

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Solution

The third proportional to 12,076.59 and 24,494.27 is: 49,680.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,076.59 : 24,494.27 = 24,494.27 : x
  2. Step 2: Convert to fraction form
    12,076.59/24,494.27 = 24,494.27/x
  3. Step 3: Cross multiply
    12,076.59x = 24,494.27 × 24,494.27
  4. Step 4: Simplify right side
    12,076.59x = 599,969,431.23
  5. Step 5: Solve for x
    x = 599,969,431.23/12,076.59
  6. Step 6: Final answer
    x = 49,680.35

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.