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Finding the Third Proportional to 17,997.19 and 21,072.66

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Solution

The third proportional to 17,997.19 and 21,072.66 is: 24,673.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,997.19 : 21,072.66 = 21,072.66 : x
  2. Step 2: Convert to fraction form
    17,997.19/21,072.66 = 21,072.66/x
  3. Step 3: Cross multiply
    17,997.19x = 21,072.66 × 21,072.66
  4. Step 4: Simplify right side
    17,997.19x = 444,056,841.43
  5. Step 5: Solve for x
    x = 444,056,841.43/17,997.19
  6. Step 6: Final answer
    x = 24,673.68

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.