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Finding the Third Proportional to 13,256 and 17,804

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Solution

The third proportional to 13,256 and 17,804 is: 23,912.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,256 : 17,804 = 17,804 : x
  2. Step 2: Convert to fraction form
    13,256/17,804 = 17,804/x
  3. Step 3: Cross multiply
    13,256x = 17,804 × 17,804
  4. Step 4: Simplify right side
    13,256x = 316,982,416
  5. Step 5: Solve for x
    x = 316,982,416/13,256
  6. Step 6: Final answer
    x = 23,912.37

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.