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Finding the Third Proportional to 3,166 and 5,003

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Solution

The third proportional to 3,166 and 5,003 is: 7,905.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166 : 5,003 = 5,003 : x
  2. Step 2: Convert to fraction form
    3,166/5,003 = 5,003/x
  3. Step 3: Cross multiply
    3,166x = 5,003 × 5,003
  4. Step 4: Simplify right side
    3,166x = 25,030,009
  5. Step 5: Solve for x
    x = 25,030,009/3,166
  6. Step 6: Final answer
    x = 7,905.88

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.