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Finding the Third Proportional to 18,193.50 and 29,211.75

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Solution

The third proportional to 18,193.50 and 29,211.75 is: 46,902.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,193.50 : 29,211.75 = 29,211.75 : x
  2. Step 2: Convert to fraction form
    18,193.50/29,211.75 = 29,211.75/x
  3. Step 3: Cross multiply
    18,193.50x = 29,211.75 × 29,211.75
  4. Step 4: Simplify right side
    18,193.50x = 853,326,338.06
  5. Step 5: Solve for x
    x = 853,326,338.06/18,193.50
  6. Step 6: Final answer
    x = 46,902.81

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.