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Finding the Third Proportional to 19,973 and 28,771

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Solution

The third proportional to 19,973 and 28,771 is: 41,444.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,973 : 28,771 = 28,771 : x
  2. Step 2: Convert to fraction form
    19,973/28,771 = 28,771/x
  3. Step 3: Cross multiply
    19,973x = 28,771 × 28,771
  4. Step 4: Simplify right side
    19,973x = 827,770,441
  5. Step 5: Solve for x
    x = 827,770,441/19,973
  6. Step 6: Final answer
    x = 41,444.47

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.