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Finding the Third Proportional to 11,652.75 and 17,475.75

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Solution

The third proportional to 11,652.75 and 17,475.75 is: 26,208.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,652.75 : 17,475.75 = 17,475.75 : x
  2. Step 2: Convert to fraction form
    11,652.75/17,475.75 = 17,475.75/x
  3. Step 3: Cross multiply
    11,652.75x = 17,475.75 × 17,475.75
  4. Step 4: Simplify right side
    11,652.75x = 305,401,838.06
  5. Step 5: Solve for x
    x = 305,401,838.06/11,652.75
  6. Step 6: Final answer
    x = 26,208.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.