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Finding the Third Proportional to 19,844 and 27,210

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Solution

The third proportional to 19,844 and 27,210 is: 37,310.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,844 : 27,210 = 27,210 : x
  2. Step 2: Convert to fraction form
    19,844/27,210 = 27,210/x
  3. Step 3: Cross multiply
    19,844x = 27,210 × 27,210
  4. Step 4: Simplify right side
    19,844x = 740,384,100
  5. Step 5: Solve for x
    x = 740,384,100/19,844
  6. Step 6: Final answer
    x = 37,310.22

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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.