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Finding the Third Proportional to 8,613 and 18,036

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Solution

The third proportional to 8,613 and 18,036 is: 37,768.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,613 : 18,036 = 18,036 : x
  2. Step 2: Convert to fraction form
    8,613/18,036 = 18,036/x
  3. Step 3: Cross multiply
    8,613x = 18,036 × 18,036
  4. Step 4: Simplify right side
    8,613x = 325,297,296
  5. Step 5: Solve for x
    x = 325,297,296/8,613
  6. Step 6: Final answer
    x = 37,768.18

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.