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Finding the Third Proportional to 38,714 and 83,764

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Solution

The third proportional to 38,714 and 83,764 is: 181,236.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,714 : 83,764 = 83,764 : x
  2. Step 2: Convert to fraction form
    38,714/83,764 = 83,764/x
  3. Step 3: Cross multiply
    38,714x = 83,764 × 83,764
  4. Step 4: Simplify right side
    38,714x = 7,016,407,696
  5. Step 5: Solve for x
    x = 7,016,407,696/38,714
  6. Step 6: Final answer
    x = 181,236.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.