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Finding the Third Proportional to 4,136 and 8,554

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Solution

The third proportional to 4,136 and 8,554 is: 17,691.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,136 : 8,554 = 8,554 : x
  2. Step 2: Convert to fraction form
    4,136/8,554 = 8,554/x
  3. Step 3: Cross multiply
    4,136x = 8,554 × 8,554
  4. Step 4: Simplify right side
    4,136x = 73,170,916
  5. Step 5: Solve for x
    x = 73,170,916/4,136
  6. Step 6: Final answer
    x = 17,691.23

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.