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Finding the Third Proportional to 17,415 and 26,162

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Solution

The third proportional to 17,415 and 26,162 is: 39,302.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,415 : 26,162 = 26,162 : x
  2. Step 2: Convert to fraction form
    17,415/26,162 = 26,162/x
  3. Step 3: Cross multiply
    17,415x = 26,162 × 26,162
  4. Step 4: Simplify right side
    17,415x = 684,450,244
  5. Step 5: Solve for x
    x = 684,450,244/17,415
  6. Step 6: Final answer
    x = 39,302.34

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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.