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Finding the Third Proportional to 18,646 and 39,236

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Solution

The third proportional to 18,646 and 39,236 is: 82,562.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,646 : 39,236 = 39,236 : x
  2. Step 2: Convert to fraction form
    18,646/39,236 = 39,236/x
  3. Step 3: Cross multiply
    18,646x = 39,236 × 39,236
  4. Step 4: Simplify right side
    18,646x = 1,539,463,696
  5. Step 5: Solve for x
    x = 1,539,463,696/18,646
  6. Step 6: Final answer
    x = 82,562.68

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.