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Finding the Third Proportional to 18,144 and 25,848

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Solution

The third proportional to 18,144 and 25,848 is: 36,823.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,144 : 25,848 = 25,848 : x
  2. Step 2: Convert to fraction form
    18,144/25,848 = 25,848/x
  3. Step 3: Cross multiply
    18,144x = 25,848 × 25,848
  4. Step 4: Simplify right side
    18,144x = 668,119,104
  5. Step 5: Solve for x
    x = 668,119,104/18,144
  6. Step 6: Final answer
    x = 36,823.14

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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.