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Finding the Third Proportional to 17,075 and 26,157

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Solution

The third proportional to 17,075 and 26,157 is: 40,069.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,075 : 26,157 = 26,157 : x
  2. Step 2: Convert to fraction form
    17,075/26,157 = 26,157/x
  3. Step 3: Cross multiply
    17,075x = 26,157 × 26,157
  4. Step 4: Simplify right side
    17,075x = 684,188,649
  5. Step 5: Solve for x
    x = 684,188,649/17,075
  6. Step 6: Final answer
    x = 40,069.61

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Why These Related Problems?

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