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Finding the Third Proportional to 17,158 and 25,664.50

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Solution

The third proportional to 17,158 and 25,664.50 is: 38,388.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,158 : 25,664.50 = 25,664.50 : x
  2. Step 2: Convert to fraction form
    17,158/25,664.50 = 25,664.50/x
  3. Step 3: Cross multiply
    17,158x = 25,664.50 × 25,664.50
  4. Step 4: Simplify right side
    17,158x = 658,666,560.25
  5. Step 5: Solve for x
    x = 658,666,560.25/17,158
  6. Step 6: Final answer
    x = 38,388.31

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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.