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Finding the Third Proportional to 17,164 and 25,788

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Solution

The third proportional to 17,164 and 25,788 is: 38,745.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,164 : 25,788 = 25,788 : x
  2. Step 2: Convert to fraction form
    17,164/25,788 = 25,788/x
  3. Step 3: Cross multiply
    17,164x = 25,788 × 25,788
  4. Step 4: Simplify right side
    17,164x = 665,020,944
  5. Step 5: Solve for x
    x = 665,020,944/17,164
  6. Step 6: Final answer
    x = 38,745.10

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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.