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Finding the Third Proportional to 18,324 and 25,944

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Solution

The third proportional to 18,324 and 25,944 is: 36,732.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,324 : 25,944 = 25,944 : x
  2. Step 2: Convert to fraction form
    18,324/25,944 = 25,944/x
  3. Step 3: Cross multiply
    18,324x = 25,944 × 25,944
  4. Step 4: Simplify right side
    18,324x = 673,091,136
  5. Step 5: Solve for x
    x = 673,091,136/18,324
  6. Step 6: Final answer
    x = 36,732.76

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.