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Finding the Third Proportional to 38,682 and 84,831

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Solution

The third proportional to 38,682 and 84,831 is: 186,037.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,682 : 84,831 = 84,831 : x
  2. Step 2: Convert to fraction form
    38,682/84,831 = 84,831/x
  3. Step 3: Cross multiply
    38,682x = 84,831 × 84,831
  4. Step 4: Simplify right side
    38,682x = 7,196,298,561
  5. Step 5: Solve for x
    x = 7,196,298,561/38,682
  6. Step 6: Final answer
    x = 186,037.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.