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Finding the Third Proportional to 38,216 and 82,984

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Solution

The third proportional to 38,216 and 82,984 is: 180,195.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,216 : 82,984 = 82,984 : x
  2. Step 2: Convert to fraction form
    38,216/82,984 = 82,984/x
  3. Step 3: Cross multiply
    38,216x = 82,984 × 82,984
  4. Step 4: Simplify right side
    38,216x = 6,886,344,256
  5. Step 5: Solve for x
    x = 6,886,344,256/38,216
  6. Step 6: Final answer
    x = 180,195.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.