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Finding the Third Proportional to 21,136 and 44,629

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Solution

The third proportional to 21,136 and 44,629 is: 94,234.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,136 : 44,629 = 44,629 : x
  2. Step 2: Convert to fraction form
    21,136/44,629 = 44,629/x
  3. Step 3: Cross multiply
    21,136x = 44,629 × 44,629
  4. Step 4: Simplify right side
    21,136x = 1,991,747,641
  5. Step 5: Solve for x
    x = 1,991,747,641/21,136
  6. Step 6: Final answer
    x = 94,234.84

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.