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Finding the Third Proportional to 11,969 and 18,169.50

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Solution

The third proportional to 11,969 and 18,169.50 is: 27,582.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,969 : 18,169.50 = 18,169.50 : x
  2. Step 2: Convert to fraction form
    11,969/18,169.50 = 18,169.50/x
  3. Step 3: Cross multiply
    11,969x = 18,169.50 × 18,169.50
  4. Step 4: Simplify right side
    11,969x = 330,130,730.25
  5. Step 5: Solve for x
    x = 330,130,730.25/11,969
  6. Step 6: Final answer
    x = 27,582.15

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.