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Finding the Third Proportional to 18,072 and 19,944

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Solution

The third proportional to 18,072 and 19,944 is: 22,009.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,072 : 19,944 = 19,944 : x
  2. Step 2: Convert to fraction form
    18,072/19,944 = 19,944/x
  3. Step 3: Cross multiply
    18,072x = 19,944 × 19,944
  4. Step 4: Simplify right side
    18,072x = 397,763,136
  5. Step 5: Solve for x
    x = 397,763,136/18,072
  6. Step 6: Final answer
    x = 22,009.91

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.