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Finding the Third Proportional to 17,999 and 25,176

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Solution

The third proportional to 17,999 and 25,176 is: 35,214.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,999 : 25,176 = 25,176 : x
  2. Step 2: Convert to fraction form
    17,999/25,176 = 25,176/x
  3. Step 3: Cross multiply
    17,999x = 25,176 × 25,176
  4. Step 4: Simplify right side
    17,999x = 633,830,976
  5. Step 5: Solve for x
    x = 633,830,976/17,999
  6. Step 6: Final answer
    x = 35,214.79

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.