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Finding the Third Proportional to 30,192 and 62,064

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Solution

The third proportional to 30,192 and 62,064 is: 127,581.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,192 : 62,064 = 62,064 : x
  2. Step 2: Convert to fraction form
    30,192/62,064 = 62,064/x
  3. Step 3: Cross multiply
    30,192x = 62,064 × 62,064
  4. Step 4: Simplify right side
    30,192x = 3,851,940,096
  5. Step 5: Solve for x
    x = 3,851,940,096/30,192
  6. Step 6: Final answer
    x = 127,581.48

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.