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Finding the Third Proportional to 12,033.19 and 28,989.38

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Solution

The third proportional to 12,033.19 and 28,989.38 is: 69,838.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,033.19 : 28,989.38 = 28,989.38 : x
  2. Step 2: Convert to fraction form
    12,033.19/28,989.38 = 28,989.38/x
  3. Step 3: Cross multiply
    12,033.19x = 28,989.38 × 28,989.38
  4. Step 4: Simplify right side
    12,033.19x = 840,383,862.89
  5. Step 5: Solve for x
    x = 840,383,862.89/12,033.19
  6. Step 6: Final answer
    x = 69,838.84

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