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Finding the Third Proportional to 11,337.94 and 18,048.38

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Solution

The third proportional to 11,337.94 and 18,048.38 is: 28,730.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,337.94 : 18,048.38 = 18,048.38 : x
  2. Step 2: Convert to fraction form
    11,337.94/18,048.38 = 18,048.38/x
  3. Step 3: Cross multiply
    11,337.94x = 18,048.38 × 18,048.38
  4. Step 4: Simplify right side
    11,337.94x = 325,743,840.14
  5. Step 5: Solve for x
    x = 325,743,840.14/11,337.94
  6. Step 6: Final answer
    x = 28,730.43

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.