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Finding the Third Proportional to 4,276.97 and 9,250.03

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Solution

The third proportional to 4,276.97 and 9,250.03 is: 20,005.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,276.97 : 9,250.03 = 9,250.03 : x
  2. Step 2: Convert to fraction form
    4,276.97/9,250.03 = 9,250.03/x
  3. Step 3: Cross multiply
    4,276.97x = 9,250.03 × 9,250.03
  4. Step 4: Simplify right side
    4,276.97x = 85,563,078.13
  5. Step 5: Solve for x
    x = 85,563,078.13/4,276.97
  6. Step 6: Final answer
    x = 20,005.54

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.