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Finding the Third Proportional to 3,912 and 10,536

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Solution

The third proportional to 3,912 and 10,536 is: 28,376.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,912 : 10,536 = 10,536 : x
  2. Step 2: Convert to fraction form
    3,912/10,536 = 10,536/x
  3. Step 3: Cross multiply
    3,912x = 10,536 × 10,536
  4. Step 4: Simplify right side
    3,912x = 111,007,296
  5. Step 5: Solve for x
    x = 111,007,296/3,912
  6. Step 6: Final answer
    x = 28,376.10

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.