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Finding the Third Proportional to 4,288.57 and 7,184.64

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Solution

The third proportional to 4,288.57 and 7,184.64 is: 12,036.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,288.57 : 7,184.64 = 7,184.64 : x
  2. Step 2: Convert to fraction form
    4,288.57/7,184.64 = 7,184.64/x
  3. Step 3: Cross multiply
    4,288.57x = 7,184.64 × 7,184.64
  4. Step 4: Simplify right side
    4,288.57x = 51,619,004.78
  5. Step 5: Solve for x
    x = 51,619,004.78/4,288.57
  6. Step 6: Final answer
    x = 12,036.41

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.