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Finding the Third Proportional to 17,072.50 and 25,848

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Solution

The third proportional to 17,072.50 and 25,848 is: 39,134.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,072.50 : 25,848 = 25,848 : x
  2. Step 2: Convert to fraction form
    17,072.50/25,848 = 25,848/x
  3. Step 3: Cross multiply
    17,072.50x = 25,848 × 25,848
  4. Step 4: Simplify right side
    17,072.50x = 668,119,104
  5. Step 5: Solve for x
    x = 668,119,104/17,072.50
  6. Step 6: Final answer
    x = 39,134.23

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.