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Finding the Third Proportional to 3,284 and 5,253

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Solution

The third proportional to 3,284 and 5,253 is: 8,402.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,284 : 5,253 = 5,253 : x
  2. Step 2: Convert to fraction form
    3,284/5,253 = 5,253/x
  3. Step 3: Cross multiply
    3,284x = 5,253 × 5,253
  4. Step 4: Simplify right side
    3,284x = 27,594,009
  5. Step 5: Solve for x
    x = 27,594,009/3,284
  6. Step 6: Final answer
    x = 8,402.56

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.