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Finding the Third Proportional to 4,857.75 and 11,158.88

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Solution

The third proportional to 4,857.75 and 11,158.88 is: 25,633.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,857.75 : 11,158.88 = 11,158.88 : x
  2. Step 2: Convert to fraction form
    4,857.75/11,158.88 = 11,158.88/x
  3. Step 3: Cross multiply
    4,857.75x = 11,158.88 × 11,158.88
  4. Step 4: Simplify right side
    4,857.75x = 124,520,491.27
  5. Step 5: Solve for x
    x = 124,520,491.27/4,857.75
  6. Step 6: Final answer
    x = 25,633.37

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.