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Finding the Third Proportional to 2,378 and 5,166

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Solution

The third proportional to 2,378 and 5,166 is: 11,222.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378 : 5,166 = 5,166 : x
  2. Step 2: Convert to fraction form
    2,378/5,166 = 5,166/x
  3. Step 3: Cross multiply
    2,378x = 5,166 × 5,166
  4. Step 4: Simplify right side
    2,378x = 26,687,556
  5. Step 5: Solve for x
    x = 26,687,556/2,378
  6. Step 6: Final answer
    x = 11,222.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.