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Finding the Third Proportional to 19,826 and 27,188

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Solution

The third proportional to 19,826 and 27,188 is: 37,283.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,826 : 27,188 = 27,188 : x
  2. Step 2: Convert to fraction form
    19,826/27,188 = 27,188/x
  3. Step 3: Cross multiply
    19,826x = 27,188 × 27,188
  4. Step 4: Simplify right side
    19,826x = 739,187,344
  5. Step 5: Solve for x
    x = 739,187,344/19,826
  6. Step 6: Final answer
    x = 37,283.74

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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.