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Finding the Third Proportional to 3,545 and 3,815

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Solution

The third proportional to 3,545 and 3,815 is: 4,105.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,545 : 3,815 = 3,815 : x
  2. Step 2: Convert to fraction form
    3,545/3,815 = 3,815/x
  3. Step 3: Cross multiply
    3,545x = 3,815 × 3,815
  4. Step 4: Simplify right side
    3,545x = 14,554,225
  5. Step 5: Solve for x
    x = 14,554,225/3,545
  6. Step 6: Final answer
    x = 4,105.56

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.