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Finding the Third Proportional to 2,707 and 5,903

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Solution

The third proportional to 2,707 and 5,903 is: 12,872.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707 : 5,903 = 5,903 : x
  2. Step 2: Convert to fraction form
    2,707/5,903 = 5,903/x
  3. Step 3: Cross multiply
    2,707x = 5,903 × 5,903
  4. Step 4: Simplify right side
    2,707x = 34,845,409
  5. Step 5: Solve for x
    x = 34,845,409/2,707
  6. Step 6: Final answer
    x = 12,872.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.