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Finding the Third Proportional to 12,980 and 20,136

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Solution

The third proportional to 12,980 and 20,136 is: 31,237.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,980 : 20,136 = 20,136 : x
  2. Step 2: Convert to fraction form
    12,980/20,136 = 20,136/x
  3. Step 3: Cross multiply
    12,980x = 20,136 × 20,136
  4. Step 4: Simplify right side
    12,980x = 405,458,496
  5. Step 5: Solve for x
    x = 405,458,496/12,980
  6. Step 6: Final answer
    x = 31,237.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.