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Finding the Third Proportional to 19,997 and 25,321

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Solution

The third proportional to 19,997 and 25,321 is: 32,062.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,997 : 25,321 = 25,321 : x
  2. Step 2: Convert to fraction form
    19,997/25,321 = 25,321/x
  3. Step 3: Cross multiply
    19,997x = 25,321 × 25,321
  4. Step 4: Simplify right side
    19,997x = 641,153,041
  5. Step 5: Solve for x
    x = 641,153,041/19,997
  6. Step 6: Final answer
    x = 32,062.46

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.