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Finding the Third Proportional to 12,033.56 and 28,989.56

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Solution

The third proportional to 12,033.56 and 28,989.56 is: 69,837.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,033.56 : 28,989.56 = 28,989.56 : x
  2. Step 2: Convert to fraction form
    12,033.56/28,989.56 = 28,989.56/x
  3. Step 3: Cross multiply
    12,033.56x = 28,989.56 × 28,989.56
  4. Step 4: Simplify right side
    12,033.56x = 840,394,733.94
  5. Step 5: Solve for x
    x = 840,394,733.94/12,033.56
  6. Step 6: Final answer
    x = 69,837.57

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.