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Finding the Third Proportional to 8,464.75 and 18,284.75

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Solution

The third proportional to 8,464.75 and 18,284.75 is: 39,496.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,464.75 : 18,284.75 = 18,284.75 : x
  2. Step 2: Convert to fraction form
    8,464.75/18,284.75 = 18,284.75/x
  3. Step 3: Cross multiply
    8,464.75x = 18,284.75 × 18,284.75
  4. Step 4: Simplify right side
    8,464.75x = 334,332,082.56
  5. Step 5: Solve for x
    x = 334,332,082.56/8,464.75
  6. Step 6: Final answer
    x = 39,496.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.