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Finding the Third Proportional to 11,980 and 18,946

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Solution

The third proportional to 11,980 and 18,946 is: 29,962.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,980 : 18,946 = 18,946 : x
  2. Step 2: Convert to fraction form
    11,980/18,946 = 18,946/x
  3. Step 3: Cross multiply
    11,980x = 18,946 × 18,946
  4. Step 4: Simplify right side
    11,980x = 358,950,916
  5. Step 5: Solve for x
    x = 358,950,916/11,980
  6. Step 6: Final answer
    x = 29,962.51

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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.