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Finding the Third Proportional to 4,288.57 and 10,174.68

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Solution

The third proportional to 4,288.57 and 10,174.68 is: 24,139.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,288.57 : 10,174.68 = 10,174.68 : x
  2. Step 2: Convert to fraction form
    4,288.57/10,174.68 = 10,174.68/x
  3. Step 3: Cross multiply
    4,288.57x = 10,174.68 × 10,174.68
  4. Step 4: Simplify right side
    4,288.57x = 103,524,027.25
  5. Step 5: Solve for x
    x = 103,524,027.25/4,288.57
  6. Step 6: Final answer
    x = 24,139.52

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.