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Finding the Third Proportional to 38,016 and 83,664

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Solution

The third proportional to 38,016 and 83,664 is: 184,124.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,016 : 83,664 = 83,664 : x
  2. Step 2: Convert to fraction form
    38,016/83,664 = 83,664/x
  3. Step 3: Cross multiply
    38,016x = 83,664 × 83,664
  4. Step 4: Simplify right side
    38,016x = 6,999,664,896
  5. Step 5: Solve for x
    x = 6,999,664,896/38,016
  6. Step 6: Final answer
    x = 184,124.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.