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Finding the Third Proportional to 11,976 and 18,944

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Solution

The third proportional to 11,976 and 18,944 is: 29,966.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,976 : 18,944 = 18,944 : x
  2. Step 2: Convert to fraction form
    11,976/18,944 = 18,944/x
  3. Step 3: Cross multiply
    11,976x = 18,944 × 18,944
  4. Step 4: Simplify right side
    11,976x = 358,875,136
  5. Step 5: Solve for x
    x = 358,875,136/11,976
  6. Step 6: Final answer
    x = 29,966.19

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.