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Finding the Third Proportional to 12,078 and 24,497.25

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Solution

The third proportional to 12,078 and 24,497.25 is: 49,686.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,078 : 24,497.25 = 24,497.25 : x
  2. Step 2: Convert to fraction form
    12,078/24,497.25 = 24,497.25/x
  3. Step 3: Cross multiply
    12,078x = 24,497.25 × 24,497.25
  4. Step 4: Simplify right side
    12,078x = 600,115,257.56
  5. Step 5: Solve for x
    x = 600,115,257.56/12,078
  6. Step 6: Final answer
    x = 49,686.64

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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.