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Finding the Third Proportional to 32,021 and 51,449

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Solution

The third proportional to 32,021 and 51,449 is: 82,664.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,021 : 51,449 = 51,449 : x
  2. Step 2: Convert to fraction form
    32,021/51,449 = 51,449/x
  3. Step 3: Cross multiply
    32,021x = 51,449 × 51,449
  4. Step 4: Simplify right side
    32,021x = 2,646,999,601
  5. Step 5: Solve for x
    x = 2,646,999,601/32,021
  6. Step 6: Final answer
    x = 82,664.49

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.