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Finding the Third Proportional to 38,512 and 83,608

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Solution

The third proportional to 38,512 and 83,608 is: 181,509.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,512 : 83,608 = 83,608 : x
  2. Step 2: Convert to fraction form
    38,512/83,608 = 83,608/x
  3. Step 3: Cross multiply
    38,512x = 83,608 × 83,608
  4. Step 4: Simplify right side
    38,512x = 6,990,297,664
  5. Step 5: Solve for x
    x = 6,990,297,664/38,512
  6. Step 6: Final answer
    x = 181,509.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.