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Finding the Third Proportional to 3,540 and 7,581.75

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Solution

The third proportional to 3,540 and 7,581.75 is: 16,238.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,540 : 7,581.75 = 7,581.75 : x
  2. Step 2: Convert to fraction form
    3,540/7,581.75 = 7,581.75/x
  3. Step 3: Cross multiply
    3,540x = 7,581.75 × 7,581.75
  4. Step 4: Simplify right side
    3,540x = 57,482,933.06
  5. Step 5: Solve for x
    x = 57,482,933.06/3,540
  6. Step 6: Final answer
    x = 16,238.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.