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Finding the Third Proportional to 11,769.75 and 18,030.38

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Solution

The third proportional to 11,769.75 and 18,030.38 is: 27,621.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,769.75 : 18,030.38 = 18,030.38 : x
  2. Step 2: Convert to fraction form
    11,769.75/18,030.38 = 18,030.38/x
  3. Step 3: Cross multiply
    11,769.75x = 18,030.38 × 18,030.38
  4. Step 4: Simplify right side
    11,769.75x = 325,094,422.64
  5. Step 5: Solve for x
    x = 325,094,422.64/11,769.75
  6. Step 6: Final answer
    x = 27,621.18

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.