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Finding the Third Proportional to 6,096 and 8,472

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Solution

The third proportional to 6,096 and 8,472 is: 11,774.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096 : 8,472 = 8,472 : x
  2. Step 2: Convert to fraction form
    6,096/8,472 = 8,472/x
  3. Step 3: Cross multiply
    6,096x = 8,472 × 8,472
  4. Step 4: Simplify right side
    6,096x = 71,774,784
  5. Step 5: Solve for x
    x = 71,774,784/6,096
  6. Step 6: Final answer
    x = 11,774.08

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.