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Finding the Third Proportional to 38,940 and 83,064

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Solution

The third proportional to 38,940 and 83,064 is: 177,186.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,940 : 83,064 = 83,064 : x
  2. Step 2: Convert to fraction form
    38,940/83,064 = 83,064/x
  3. Step 3: Cross multiply
    38,940x = 83,064 × 83,064
  4. Step 4: Simplify right side
    38,940x = 6,899,628,096
  5. Step 5: Solve for x
    x = 6,899,628,096/38,940
  6. Step 6: Final answer
    x = 177,186.13

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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.