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Finding the Third Proportional to 11,626.50 and 18,047.06

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Solution

The third proportional to 11,626.50 and 18,047.06 is: 28,013.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,626.50 : 18,047.06 = 18,047.06 : x
  2. Step 2: Convert to fraction form
    11,626.50/18,047.06 = 18,047.06/x
  3. Step 3: Cross multiply
    11,626.50x = 18,047.06 × 18,047.06
  4. Step 4: Simplify right side
    11,626.50x = 325,696,464.88
  5. Step 5: Solve for x
    x = 325,696,464.88/11,626.50
  6. Step 6: Final answer
    x = 28,013.29

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.