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Finding the Third Proportional to 1,193 and 2,539

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Solution

The third proportional to 1,193 and 2,539 is: 5,403.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193 : 2,539 = 2,539 : x
  2. Step 2: Convert to fraction form
    1,193/2,539 = 2,539/x
  3. Step 3: Cross multiply
    1,193x = 2,539 × 2,539
  4. Step 4: Simplify right side
    1,193x = 6,446,521
  5. Step 5: Solve for x
    x = 6,446,521/1,193
  6. Step 6: Final answer
    x = 5,403.62

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.