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Finding the Third Proportional to 9,806 and 18,652

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Solution

The third proportional to 9,806 and 18,652 is: 35,477.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806 : 18,652 = 18,652 : x
  2. Step 2: Convert to fraction form
    9,806/18,652 = 18,652/x
  3. Step 3: Cross multiply
    9,806x = 18,652 × 18,652
  4. Step 4: Simplify right side
    9,806x = 347,897,104
  5. Step 5: Solve for x
    x = 347,897,104/9,806
  6. Step 6: Final answer
    x = 35,477.98

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.