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Finding the Third Proportional to 11,034.50 and 17,096.75

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Solution

The third proportional to 11,034.50 and 17,096.75 is: 26,489.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,034.50 : 17,096.75 = 17,096.75 : x
  2. Step 2: Convert to fraction form
    11,034.50/17,096.75 = 17,096.75/x
  3. Step 3: Cross multiply
    11,034.50x = 17,096.75 × 17,096.75
  4. Step 4: Simplify right side
    11,034.50x = 292,298,860.56
  5. Step 5: Solve for x
    x = 292,298,860.56/11,034.50
  6. Step 6: Final answer
    x = 26,489.54

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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.