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Finding the Third Proportional to 6,136 and 8,812

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Solution

The third proportional to 6,136 and 8,812 is: 12,655.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,136 : 8,812 = 8,812 : x
  2. Step 2: Convert to fraction form
    6,136/8,812 = 8,812/x
  3. Step 3: Cross multiply
    6,136x = 8,812 × 8,812
  4. Step 4: Simplify right side
    6,136x = 77,651,344
  5. Step 5: Solve for x
    x = 77,651,344/6,136
  6. Step 6: Final answer
    x = 12,655.04

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.