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Finding the Third Proportional to 17,126 and 26,174.50

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Solution

The third proportional to 17,126 and 26,174.50 is: 40,003.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,126 : 26,174.50 = 26,174.50 : x
  2. Step 2: Convert to fraction form
    17,126/26,174.50 = 26,174.50/x
  3. Step 3: Cross multiply
    17,126x = 26,174.50 × 26,174.50
  4. Step 4: Simplify right side
    17,126x = 685,104,450.25
  5. Step 5: Solve for x
    x = 685,104,450.25/17,126
  6. Step 6: Final answer
    x = 40,003.76

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.