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Finding the Third Proportional to 17,018 and 25,888

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Solution

The third proportional to 17,018 and 25,888 is: 39,381.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,018 : 25,888 = 25,888 : x
  2. Step 2: Convert to fraction form
    17,018/25,888 = 25,888/x
  3. Step 3: Cross multiply
    17,018x = 25,888 × 25,888
  4. Step 4: Simplify right side
    17,018x = 670,188,544
  5. Step 5: Solve for x
    x = 670,188,544/17,018
  6. Step 6: Final answer
    x = 39,381.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.