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Finding the Third Proportional to 9,000 and 10,296

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Solution

The third proportional to 9,000 and 10,296 is: 11,778.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,000 : 10,296 = 10,296 : x
  2. Step 2: Convert to fraction form
    9,000/10,296 = 10,296/x
  3. Step 3: Cross multiply
    9,000x = 10,296 × 10,296
  4. Step 4: Simplify right side
    9,000x = 106,007,616
  5. Step 5: Solve for x
    x = 106,007,616/9,000
  6. Step 6: Final answer
    x = 11,778.62

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.