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Finding the Third Proportional to 3,195 and 3,465

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Solution

The third proportional to 3,195 and 3,465 is: 3,757.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,195 : 3,465 = 3,465 : x
  2. Step 2: Convert to fraction form
    3,195/3,465 = 3,465/x
  3. Step 3: Cross multiply
    3,195x = 3,465 × 3,465
  4. Step 4: Simplify right side
    3,195x = 12,006,225
  5. Step 5: Solve for x
    x = 12,006,225/3,195
  6. Step 6: Final answer
    x = 3,757.82

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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.