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Finding the Third Proportional to 5,677 and 12,956

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Solution

The third proportional to 5,677 and 12,956 is: 29,568.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,677 : 12,956 = 12,956 : x
  2. Step 2: Convert to fraction form
    5,677/12,956 = 12,956/x
  3. Step 3: Cross multiply
    5,677x = 12,956 × 12,956
  4. Step 4: Simplify right side
    5,677x = 167,857,936
  5. Step 5: Solve for x
    x = 167,857,936/5,677
  6. Step 6: Final answer
    x = 29,568.07

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.