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Finding the Third Proportional to 7,984 and 11,256

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Solution

The third proportional to 7,984 and 11,256 is: 15,868.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,984 : 11,256 = 11,256 : x
  2. Step 2: Convert to fraction form
    7,984/11,256 = 11,256/x
  3. Step 3: Cross multiply
    7,984x = 11,256 × 11,256
  4. Step 4: Simplify right side
    7,984x = 126,697,536
  5. Step 5: Solve for x
    x = 126,697,536/7,984
  6. Step 6: Final answer
    x = 15,868.93

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.