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Finding the Third Proportional to 38,962 and 84,074

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Solution

The third proportional to 38,962 and 84,074 is: 181,418.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,962 : 84,074 = 84,074 : x
  2. Step 2: Convert to fraction form
    38,962/84,074 = 84,074/x
  3. Step 3: Cross multiply
    38,962x = 84,074 × 84,074
  4. Step 4: Simplify right side
    38,962x = 7,068,437,476
  5. Step 5: Solve for x
    x = 7,068,437,476/38,962
  6. Step 6: Final answer
    x = 181,418.75

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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.