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Finding the Third Proportional to 7,629.19 and 16,394.06

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Solution

The third proportional to 7,629.19 and 16,394.06 is: 35,228.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,629.19 : 16,394.06 = 16,394.06 : x
  2. Step 2: Convert to fraction form
    7,629.19/16,394.06 = 16,394.06/x
  3. Step 3: Cross multiply
    7,629.19x = 16,394.06 × 16,394.06
  4. Step 4: Simplify right side
    7,629.19x = 268,765,285.25
  5. Step 5: Solve for x
    x = 268,765,285.25/7,629.19
  6. Step 6: Final answer
    x = 35,228.56

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.