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Finding the Third Proportional to 2,166 and 3,345

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Solution

The third proportional to 2,166 and 3,345 is: 5,165.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166 : 3,345 = 3,345 : x
  2. Step 2: Convert to fraction form
    2,166/3,345 = 3,345/x
  3. Step 3: Cross multiply
    2,166x = 3,345 × 3,345
  4. Step 4: Simplify right side
    2,166x = 11,189,025
  5. Step 5: Solve for x
    x = 11,189,025/2,166
  6. Step 6: Final answer
    x = 5,165.75

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.