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Finding the Third Proportional to 6,190 and 13,760

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Solution

The third proportional to 6,190 and 13,760 is: 30,587.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,190 : 13,760 = 13,760 : x
  2. Step 2: Convert to fraction form
    6,190/13,760 = 13,760/x
  3. Step 3: Cross multiply
    6,190x = 13,760 × 13,760
  4. Step 4: Simplify right side
    6,190x = 189,337,600
  5. Step 5: Solve for x
    x = 189,337,600/6,190
  6. Step 6: Final answer
    x = 30,587.66

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.