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Finding the Third Proportional to 4,942.69 and 8,082.28

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Solution

The third proportional to 4,942.69 and 8,082.28 is: 13,216.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,942.69 : 8,082.28 = 8,082.28 : x
  2. Step 2: Convert to fraction form
    4,942.69/8,082.28 = 8,082.28/x
  3. Step 3: Cross multiply
    4,942.69x = 8,082.28 × 8,082.28
  4. Step 4: Simplify right side
    4,942.69x = 65,323,270.20
  5. Step 5: Solve for x
    x = 65,323,270.20/4,942.69
  6. Step 6: Final answer
    x = 13,216.14

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.