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Finding the Third Proportional to 38,861 and 83,925

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Solution

The third proportional to 38,861 and 83,925 is: 181,246.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,861 : 83,925 = 83,925 : x
  2. Step 2: Convert to fraction form
    38,861/83,925 = 83,925/x
  3. Step 3: Cross multiply
    38,861x = 83,925 × 83,925
  4. Step 4: Simplify right side
    38,861x = 7,043,405,625
  5. Step 5: Solve for x
    x = 7,043,405,625/38,861
  6. Step 6: Final answer
    x = 181,246.12

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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.