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Finding the Third Proportional to 3,171 and 5,202

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Solution

The third proportional to 3,171 and 5,202 is: 8,533.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171 : 5,202 = 5,202 : x
  2. Step 2: Convert to fraction form
    3,171/5,202 = 5,202/x
  3. Step 3: Cross multiply
    3,171x = 5,202 × 5,202
  4. Step 4: Simplify right side
    3,171x = 27,060,804
  5. Step 5: Solve for x
    x = 27,060,804/3,171
  6. Step 6: Final answer
    x = 8,533.84

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.