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Finding the Third Proportional to 4,022.79 and 8,325.12

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Solution

The third proportional to 4,022.79 and 8,325.12 is: 17,228.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,022.79 : 8,325.12 = 8,325.12 : x
  2. Step 2: Convert to fraction form
    4,022.79/8,325.12 = 8,325.12/x
  3. Step 3: Cross multiply
    4,022.79x = 8,325.12 × 8,325.12
  4. Step 4: Simplify right side
    4,022.79x = 69,307,673.75
  5. Step 5: Solve for x
    x = 69,307,673.75/4,022.79
  6. Step 6: Final answer
    x = 17,228.76

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.