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Finding the Third Proportional to 10,183.22 and 21,391.59

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Solution

The third proportional to 10,183.22 and 21,391.59 is: 44,936.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,183.22 : 21,391.59 = 21,391.59 : x
  2. Step 2: Convert to fraction form
    10,183.22/21,391.59 = 21,391.59/x
  3. Step 3: Cross multiply
    10,183.22x = 21,391.59 × 21,391.59
  4. Step 4: Simplify right side
    10,183.22x = 457,600,283.17
  5. Step 5: Solve for x
    x = 457,600,283.17/10,183.22
  6. Step 6: Final answer
    x = 44,936.70

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.