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Finding the Third Proportional to 12,606.75 and 17,795.25

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Solution

The third proportional to 12,606.75 and 17,795.25 is: 25,119.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,606.75 : 17,795.25 = 17,795.25 : x
  2. Step 2: Convert to fraction form
    12,606.75/17,795.25 = 17,795.25/x
  3. Step 3: Cross multiply
    12,606.75x = 17,795.25 × 17,795.25
  4. Step 4: Simplify right side
    12,606.75x = 316,670,922.56
  5. Step 5: Solve for x
    x = 316,670,922.56/12,606.75
  6. Step 6: Final answer
    x = 25,119.16

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.