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Finding the Third Proportional to 3,183 and 5,248.50

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Solution

The third proportional to 3,183 and 5,248.50 is: 8,654.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,183 : 5,248.50 = 5,248.50 : x
  2. Step 2: Convert to fraction form
    3,183/5,248.50 = 5,248.50/x
  3. Step 3: Cross multiply
    3,183x = 5,248.50 × 5,248.50
  4. Step 4: Simplify right side
    3,183x = 27,546,752.25
  5. Step 5: Solve for x
    x = 27,546,752.25/3,183
  6. Step 6: Final answer
    x = 8,654.34

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.