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Finding the Third Proportional to 2,365 and 2,743

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Solution

The third proportional to 2,365 and 2,743 is: 3,181.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365 : 2,743 = 2,743 : x
  2. Step 2: Convert to fraction form
    2,365/2,743 = 2,743/x
  3. Step 3: Cross multiply
    2,365x = 2,743 × 2,743
  4. Step 4: Simplify right side
    2,365x = 7,524,049
  5. Step 5: Solve for x
    x = 7,524,049/2,365
  6. Step 6: Final answer
    x = 3,181.42

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.