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Finding the Third Proportional to 17,266.50 and 23,010.75

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Solution

The third proportional to 17,266.50 and 23,010.75 is: 30,666.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,266.50 : 23,010.75 = 23,010.75 : x
  2. Step 2: Convert to fraction form
    17,266.50/23,010.75 = 23,010.75/x
  3. Step 3: Cross multiply
    17,266.50x = 23,010.75 × 23,010.75
  4. Step 4: Simplify right side
    17,266.50x = 529,494,615.56
  5. Step 5: Solve for x
    x = 529,494,615.56/17,266.50
  6. Step 6: Final answer
    x = 30,666.01

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.