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Finding the Third Proportional to 5,432 and 9,936

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Solution

The third proportional to 5,432 and 9,936 is: 18,174.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,432 : 9,936 = 9,936 : x
  2. Step 2: Convert to fraction form
    5,432/9,936 = 9,936/x
  3. Step 3: Cross multiply
    5,432x = 9,936 × 9,936
  4. Step 4: Simplify right side
    5,432x = 98,724,096
  5. Step 5: Solve for x
    x = 98,724,096/5,432
  6. Step 6: Final answer
    x = 18,174.54

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.