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Finding the Third Proportional to 12,990.38 and 27,984.23

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Solution

The third proportional to 12,990.38 and 27,984.23 is: 60,284.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,990.38 : 27,984.23 = 27,984.23 : x
  2. Step 2: Convert to fraction form
    12,990.38/27,984.23 = 27,984.23/x
  3. Step 3: Cross multiply
    12,990.38x = 27,984.23 × 27,984.23
  4. Step 4: Simplify right side
    12,990.38x = 783,117,373.55
  5. Step 5: Solve for x
    x = 783,117,373.55/12,990.38
  6. Step 6: Final answer
    x = 60,284.43

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.