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Finding the Third Proportional to 12,974.25 and 28,216.50

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Solution

The third proportional to 12,974.25 and 28,216.50 is: 61,365.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,974.25 : 28,216.50 = 28,216.50 : x
  2. Step 2: Convert to fraction form
    12,974.25/28,216.50 = 28,216.50/x
  3. Step 3: Cross multiply
    12,974.25x = 28,216.50 × 28,216.50
  4. Step 4: Simplify right side
    12,974.25x = 796,170,872.25
  5. Step 5: Solve for x
    x = 796,170,872.25/12,974.25
  6. Step 6: Final answer
    x = 61,365.46

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.