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Finding the Third Proportional to 6,096 and 11,304

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Solution

The third proportional to 6,096 and 11,304 is: 20,961.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096 : 11,304 = 11,304 : x
  2. Step 2: Convert to fraction form
    6,096/11,304 = 11,304/x
  3. Step 3: Cross multiply
    6,096x = 11,304 × 11,304
  4. Step 4: Simplify right side
    6,096x = 127,780,416
  5. Step 5: Solve for x
    x = 127,780,416/6,096
  6. Step 6: Final answer
    x = 20,961.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.