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Finding the Third Proportional to 17,538.75 and 26,232.75

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Solution

The third proportional to 17,538.75 and 26,232.75 is: 39,236.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,538.75 : 26,232.75 = 26,232.75 : x
  2. Step 2: Convert to fraction form
    17,538.75/26,232.75 = 26,232.75/x
  3. Step 3: Cross multiply
    17,538.75x = 26,232.75 × 26,232.75
  4. Step 4: Simplify right side
    17,538.75x = 688,157,172.56
  5. Step 5: Solve for x
    x = 688,157,172.56/17,538.75
  6. Step 6: Final answer
    x = 39,236.39

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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.