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Finding the Third Proportional to 12,968.50 and 18,992.75

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Solution

The third proportional to 12,968.50 and 18,992.75 is: 27,815.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,968.50 : 18,992.75 = 18,992.75 : x
  2. Step 2: Convert to fraction form
    12,968.50/18,992.75 = 18,992.75/x
  3. Step 3: Cross multiply
    12,968.50x = 18,992.75 × 18,992.75
  4. Step 4: Simplify right side
    12,968.50x = 360,724,552.56
  5. Step 5: Solve for x
    x = 360,724,552.56/12,968.50
  6. Step 6: Final answer
    x = 27,815.44

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.