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Finding the Third Proportional to 13,185 and 17,898.75

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Solution

The third proportional to 13,185 and 17,898.75 is: 24,297.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,185 : 17,898.75 = 17,898.75 : x
  2. Step 2: Convert to fraction form
    13,185/17,898.75 = 17,898.75/x
  3. Step 3: Cross multiply
    13,185x = 17,898.75 × 17,898.75
  4. Step 4: Simplify right side
    13,185x = 320,365,251.56
  5. Step 5: Solve for x
    x = 320,365,251.56/13,185
  6. Step 6: Final answer
    x = 24,297.71

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.