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Finding the Third Proportional to 18,590 and 27,225

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Solution

The third proportional to 18,590 and 27,225 is: 39,870.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,590 : 27,225 = 27,225 : x
  2. Step 2: Convert to fraction form
    18,590/27,225 = 27,225/x
  3. Step 3: Cross multiply
    18,590x = 27,225 × 27,225
  4. Step 4: Simplify right side
    18,590x = 741,200,625
  5. Step 5: Solve for x
    x = 741,200,625/18,590
  6. Step 6: Final answer
    x = 39,870.93

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.