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Finding the Third Proportional to 6,377 and 13,731

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Solution

The third proportional to 6,377 and 13,731 is: 29,565.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,377 : 13,731 = 13,731 : x
  2. Step 2: Convert to fraction form
    6,377/13,731 = 13,731/x
  3. Step 3: Cross multiply
    6,377x = 13,731 × 13,731
  4. Step 4: Simplify right side
    6,377x = 188,540,361
  5. Step 5: Solve for x
    x = 188,540,361/6,377
  6. Step 6: Final answer
    x = 29,565.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.