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Finding the Third Proportional to 12,236.50 and 17,666

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Solution

The third proportional to 12,236.50 and 17,666 is: 25,504.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,236.50 : 17,666 = 17,666 : x
  2. Step 2: Convert to fraction form
    12,236.50/17,666 = 17,666/x
  3. Step 3: Cross multiply
    12,236.50x = 17,666 × 17,666
  4. Step 4: Simplify right side
    12,236.50x = 312,087,556
  5. Step 5: Solve for x
    x = 312,087,556/12,236.50
  6. Step 6: Final answer
    x = 25,504.64

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.