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Finding the Third Proportional to 12,136 and 19,872

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Solution

The third proportional to 12,136 and 19,872 is: 32,539.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,136 : 19,872 = 19,872 : x
  2. Step 2: Convert to fraction form
    12,136/19,872 = 19,872/x
  3. Step 3: Cross multiply
    12,136x = 19,872 × 19,872
  4. Step 4: Simplify right side
    12,136x = 394,896,384
  5. Step 5: Solve for x
    x = 394,896,384/12,136
  6. Step 6: Final answer
    x = 32,539.25

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.