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Finding the Third Proportional to 18,566 and 38,956

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Solution

The third proportional to 18,566 and 38,956 is: 81,739.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,566 : 38,956 = 38,956 : x
  2. Step 2: Convert to fraction form
    18,566/38,956 = 38,956/x
  3. Step 3: Cross multiply
    18,566x = 38,956 × 38,956
  4. Step 4: Simplify right side
    18,566x = 1,517,569,936
  5. Step 5: Solve for x
    x = 1,517,569,936/18,566
  6. Step 6: Final answer
    x = 81,739.20

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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.