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Finding the Third Proportional to 11,556 and 18,609.75

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Solution

The third proportional to 11,556 and 18,609.75 is: 29,969.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,556 : 18,609.75 = 18,609.75 : x
  2. Step 2: Convert to fraction form
    11,556/18,609.75 = 18,609.75/x
  3. Step 3: Cross multiply
    11,556x = 18,609.75 × 18,609.75
  4. Step 4: Simplify right side
    11,556x = 346,322,795.06
  5. Step 5: Solve for x
    x = 346,322,795.06/11,556
  6. Step 6: Final answer
    x = 29,969.09

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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.