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Finding the Third Proportional to 19,825 and 27,185

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Solution

The third proportional to 19,825 and 27,185 is: 37,277.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,825 : 27,185 = 27,185 : x
  2. Step 2: Convert to fraction form
    19,825/27,185 = 27,185/x
  3. Step 3: Cross multiply
    19,825x = 27,185 × 27,185
  4. Step 4: Simplify right side
    19,825x = 739,024,225
  5. Step 5: Solve for x
    x = 739,024,225/19,825
  6. Step 6: Final answer
    x = 37,277.39

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.