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Finding the Third Proportional to 18,116 and 38,640

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Solution

The third proportional to 18,116 and 38,640 is: 82,416.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,116 : 38,640 = 38,640 : x
  2. Step 2: Convert to fraction form
    18,116/38,640 = 38,640/x
  3. Step 3: Cross multiply
    18,116x = 38,640 × 38,640
  4. Step 4: Simplify right side
    18,116x = 1,493,049,600
  5. Step 5: Solve for x
    x = 1,493,049,600/18,116
  6. Step 6: Final answer
    x = 82,416.07

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.