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Finding the Third Proportional to 11,399 and 18,034.50

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Solution

The third proportional to 11,399 and 18,034.50 is: 28,532.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,399 : 18,034.50 = 18,034.50 : x
  2. Step 2: Convert to fraction form
    11,399/18,034.50 = 18,034.50/x
  3. Step 3: Cross multiply
    11,399x = 18,034.50 × 18,034.50
  4. Step 4: Simplify right side
    11,399x = 325,243,190.25
  5. Step 5: Solve for x
    x = 325,243,190.25/11,399
  6. Step 6: Final answer
    x = 28,532.61

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.