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Finding the Third Proportional to 35,523.75 and 76,584.75

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Solution

The third proportional to 35,523.75 and 76,584.75 is: 165,107.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,523.75 : 76,584.75 = 76,584.75 : x
  2. Step 2: Convert to fraction form
    35,523.75/76,584.75 = 76,584.75/x
  3. Step 3: Cross multiply
    35,523.75x = 76,584.75 × 76,584.75
  4. Step 4: Simplify right side
    35,523.75x = 5,865,223,932.56
  5. Step 5: Solve for x
    x = 5,865,223,932.56/35,523.75
  6. Step 6: Final answer
    x = 165,107.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.