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Finding the Third Proportional to 3,284 and 3,564

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Solution

The third proportional to 3,284 and 3,564 is: 3,867.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,284 : 3,564 = 3,564 : x
  2. Step 2: Convert to fraction form
    3,284/3,564 = 3,564/x
  3. Step 3: Cross multiply
    3,284x = 3,564 × 3,564
  4. Step 4: Simplify right side
    3,284x = 12,702,096
  5. Step 5: Solve for x
    x = 12,702,096/3,284
  6. Step 6: Final answer
    x = 3,867.87

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.