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Finding the Third Proportional to 17,475.75 and 30,759.75

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Solution

The third proportional to 17,475.75 and 30,759.75 is: 54,141.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,475.75 : 30,759.75 = 30,759.75 : x
  2. Step 2: Convert to fraction form
    17,475.75/30,759.75 = 30,759.75/x
  3. Step 3: Cross multiply
    17,475.75x = 30,759.75 × 30,759.75
  4. Step 4: Simplify right side
    17,475.75x = 946,162,220.06
  5. Step 5: Solve for x
    x = 946,162,220.06/17,475.75
  6. Step 6: Final answer
    x = 54,141.44

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.