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Finding the Third Proportional to 9,682.03 and 14,910.33

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Solution

The third proportional to 9,682.03 and 14,910.33 is: 22,961.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.03 : 14,910.33 = 14,910.33 : x
  2. Step 2: Convert to fraction form
    9,682.03/14,910.33 = 14,910.33/x
  3. Step 3: Cross multiply
    9,682.03x = 14,910.33 × 14,910.33
  4. Step 4: Simplify right side
    9,682.03x = 222,317,884.80
  5. Step 5: Solve for x
    x = 222,317,884.80/9,682.03
  6. Step 6: Final answer
    x = 22,961.91

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.