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Finding the Third Proportional to 10,116 and 10,956

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Solution

The third proportional to 10,116 and 10,956 is: 11,865.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,116 : 10,956 = 10,956 : x
  2. Step 2: Convert to fraction form
    10,116/10,956 = 10,956/x
  3. Step 3: Cross multiply
    10,116x = 10,956 × 10,956
  4. Step 4: Simplify right side
    10,116x = 120,033,936
  5. Step 5: Solve for x
    x = 120,033,936/10,116
  6. Step 6: Final answer
    x = 11,865.75

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.