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Finding the Third Proportional to 3,493.75 and 7,601.75

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Solution

The third proportional to 3,493.75 and 7,601.75 is: 16,539.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493.75 : 7,601.75 = 7,601.75 : x
  2. Step 2: Convert to fraction form
    3,493.75/7,601.75 = 7,601.75/x
  3. Step 3: Cross multiply
    3,493.75x = 7,601.75 × 7,601.75
  4. Step 4: Simplify right side
    3,493.75x = 57,786,603.06
  5. Step 5: Solve for x
    x = 57,786,603.06/3,493.75
  6. Step 6: Final answer
    x = 16,539.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.