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Finding the Third Proportional to 10,767.94 and 23,183.72

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Solution

The third proportional to 10,767.94 and 23,183.72 is: 49,915.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,767.94 : 23,183.72 = 23,183.72 : x
  2. Step 2: Convert to fraction form
    10,767.94/23,183.72 = 23,183.72/x
  3. Step 3: Cross multiply
    10,767.94x = 23,183.72 × 23,183.72
  4. Step 4: Simplify right side
    10,767.94x = 537,484,815.08
  5. Step 5: Solve for x
    x = 537,484,815.08/10,767.94
  6. Step 6: Final answer
    x = 49,915.30

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Why These Related Problems?

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