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Finding the Third Proportional to 9,675 and 11,595

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Solution

The third proportional to 9,675 and 11,595 is: 13,896.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,675 : 11,595 = 11,595 : x
  2. Step 2: Convert to fraction form
    9,675/11,595 = 11,595/x
  3. Step 3: Cross multiply
    9,675x = 11,595 × 11,595
  4. Step 4: Simplify right side
    9,675x = 134,444,025
  5. Step 5: Solve for x
    x = 134,444,025/9,675
  6. Step 6: Final answer
    x = 13,896.02

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.