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Finding the Third Proportional to 18,286.88 and 23,887.69

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Solution

The third proportional to 18,286.88 and 23,887.69 is: 31,203.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,286.88 : 23,887.69 = 23,887.69 : x
  2. Step 2: Convert to fraction form
    18,286.88/23,887.69 = 23,887.69/x
  3. Step 3: Cross multiply
    18,286.88x = 23,887.69 × 23,887.69
  4. Step 4: Simplify right side
    18,286.88x = 570,621,614.10
  5. Step 5: Solve for x
    x = 570,621,614.10/18,286.88
  6. Step 6: Final answer
    x = 31,203.89

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.