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Finding the Third Proportional to 9,096 and 11,700

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Solution

The third proportional to 9,096 and 11,700 is: 15,049.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,096 : 11,700 = 11,700 : x
  2. Step 2: Convert to fraction form
    9,096/11,700 = 11,700/x
  3. Step 3: Cross multiply
    9,096x = 11,700 × 11,700
  4. Step 4: Simplify right side
    9,096x = 136,890,000
  5. Step 5: Solve for x
    x = 136,890,000/9,096
  6. Step 6: Final answer
    x = 15,049.47

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.