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Finding the Third Proportional to 18,144 and 22,944

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Solution

The third proportional to 18,144 and 22,944 is: 29,013.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,144 : 22,944 = 22,944 : x
  2. Step 2: Convert to fraction form
    18,144/22,944 = 22,944/x
  3. Step 3: Cross multiply
    18,144x = 22,944 × 22,944
  4. Step 4: Simplify right side
    18,144x = 526,427,136
  5. Step 5: Solve for x
    x = 526,427,136/18,144
  6. Step 6: Final answer
    x = 29,013.84

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.