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Finding the Third Proportional to 9,363.09 and 21,729.52

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Solution

The third proportional to 9,363.09 and 21,729.52 is: 50,429.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,363.09 : 21,729.52 = 21,729.52 : x
  2. Step 2: Convert to fraction form
    9,363.09/21,729.52 = 21,729.52/x
  3. Step 3: Cross multiply
    9,363.09x = 21,729.52 × 21,729.52
  4. Step 4: Simplify right side
    9,363.09x = 472,171,849.30
  5. Step 5: Solve for x
    x = 472,171,849.30/9,363.09
  6. Step 6: Final answer
    x = 50,429.04

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.