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Finding the Third Proportional to 38,964 and 91,236

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Solution

The third proportional to 38,964 and 91,236 is: 213,633.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,964 : 91,236 = 91,236 : x
  2. Step 2: Convert to fraction form
    38,964/91,236 = 91,236/x
  3. Step 3: Cross multiply
    38,964x = 91,236 × 91,236
  4. Step 4: Simplify right side
    38,964x = 8,324,007,696
  5. Step 5: Solve for x
    x = 8,324,007,696/38,964
  6. Step 6: Final answer
    x = 213,633.29

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.