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Finding the Third Proportional to 38,798 and 82,684

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Solution

The third proportional to 38,798 and 82,684 is: 176,211.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,798 : 82,684 = 82,684 : x
  2. Step 2: Convert to fraction form
    38,798/82,684 = 82,684/x
  3. Step 3: Cross multiply
    38,798x = 82,684 × 82,684
  4. Step 4: Simplify right side
    38,798x = 6,836,643,856
  5. Step 5: Solve for x
    x = 6,836,643,856/38,798
  6. Step 6: Final answer
    x = 176,211.24

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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.