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Finding the Third Proportional to 13,709.25 and 18,609.75

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Solution

The third proportional to 13,709.25 and 18,609.75 is: 25,261.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,709.25 : 18,609.75 = 18,609.75 : x
  2. Step 2: Convert to fraction form
    13,709.25/18,609.75 = 18,609.75/x
  3. Step 3: Cross multiply
    13,709.25x = 18,609.75 × 18,609.75
  4. Step 4: Simplify right side
    13,709.25x = 346,322,795.06
  5. Step 5: Solve for x
    x = 346,322,795.06/13,709.25
  6. Step 6: Final answer
    x = 25,261.98

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.