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Finding the Third Proportional to 5,082.75 and 10,823.63

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Solution

The third proportional to 5,082.75 and 10,823.63 is: 23,048.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,082.75 : 10,823.63 = 10,823.63 : x
  2. Step 2: Convert to fraction form
    5,082.75/10,823.63 = 10,823.63/x
  3. Step 3: Cross multiply
    5,082.75x = 10,823.63 × 10,823.63
  4. Step 4: Simplify right side
    5,082.75x = 117,150,858.14
  5. Step 5: Solve for x
    x = 117,150,858.14/5,082.75
  6. Step 6: Final answer
    x = 23,048.72

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.