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Finding the Third Proportional to 6,136.50 and 13,294.13

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Solution

The third proportional to 6,136.50 and 13,294.13 is: 28,800.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,136.50 : 13,294.13 = 13,294.13 : x
  2. Step 2: Convert to fraction form
    6,136.50/13,294.13 = 13,294.13/x
  3. Step 3: Cross multiply
    6,136.50x = 13,294.13 × 13,294.13
  4. Step 4: Simplify right side
    6,136.50x = 176,733,759.52
  5. Step 5: Solve for x
    x = 176,733,759.52/6,136.50
  6. Step 6: Final answer
    x = 28,800.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.