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Finding the Third Proportional to 12,096 and 17,892

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Solution

The third proportional to 12,096 and 17,892 is: 26,465.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,096 : 17,892 = 17,892 : x
  2. Step 2: Convert to fraction form
    12,096/17,892 = 17,892/x
  3. Step 3: Cross multiply
    12,096x = 17,892 × 17,892
  4. Step 4: Simplify right side
    12,096x = 320,123,664
  5. Step 5: Solve for x
    x = 320,123,664/12,096
  6. Step 6: Final answer
    x = 26,465.25

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.