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Finding the Third Proportional to 8,100 and 12,136.50

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Solution

The third proportional to 8,100 and 12,136.50 is: 18,184.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,100 : 12,136.50 = 12,136.50 : x
  2. Step 2: Convert to fraction form
    8,100/12,136.50 = 12,136.50/x
  3. Step 3: Cross multiply
    8,100x = 12,136.50 × 12,136.50
  4. Step 4: Simplify right side
    8,100x = 147,294,632.25
  5. Step 5: Solve for x
    x = 147,294,632.25/8,100
  6. Step 6: Final answer
    x = 18,184.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.