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Finding the Third Proportional to 30,100.50 and 35,568

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Solution

The third proportional to 30,100.50 and 35,568 is: 42,028.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,100.50 : 35,568 = 35,568 : x
  2. Step 2: Convert to fraction form
    30,100.50/35,568 = 35,568/x
  3. Step 3: Cross multiply
    30,100.50x = 35,568 × 35,568
  4. Step 4: Simplify right side
    30,100.50x = 1,265,082,624
  5. Step 5: Solve for x
    x = 1,265,082,624/30,100.50
  6. Step 6: Final answer
    x = 42,028.62

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.