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Finding the Third Proportional to 13,047.75 and 17,682.75

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Solution

The third proportional to 13,047.75 and 17,682.75 is: 23,964.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,047.75 : 17,682.75 = 17,682.75 : x
  2. Step 2: Convert to fraction form
    13,047.75/17,682.75 = 17,682.75/x
  3. Step 3: Cross multiply
    13,047.75x = 17,682.75 × 17,682.75
  4. Step 4: Simplify right side
    13,047.75x = 312,679,647.56
  5. Step 5: Solve for x
    x = 312,679,647.56/13,047.75
  6. Step 6: Final answer
    x = 23,964.26

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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.