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Finding the Third Proportional to 8,494.03 and 18,084.09

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Solution

The third proportional to 8,494.03 and 18,084.09 is: 38,501.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,494.03 : 18,084.09 = 18,084.09 : x
  2. Step 2: Convert to fraction form
    8,494.03/18,084.09 = 18,084.09/x
  3. Step 3: Cross multiply
    8,494.03x = 18,084.09 × 18,084.09
  4. Step 4: Simplify right side
    8,494.03x = 327,034,446.76
  5. Step 5: Solve for x
    x = 327,034,446.76/8,494.03
  6. Step 6: Final answer
    x = 38,501.68

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.