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Finding the Third Proportional to 19,744 and 27,772

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Solution

The third proportional to 19,744 and 27,772 is: 39,064.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,744 : 27,772 = 27,772 : x
  2. Step 2: Convert to fraction form
    19,744/27,772 = 27,772/x
  3. Step 3: Cross multiply
    19,744x = 27,772 × 27,772
  4. Step 4: Simplify right side
    19,744x = 771,283,984
  5. Step 5: Solve for x
    x = 771,283,984/19,744
  6. Step 6: Final answer
    x = 39,064.22

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.