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Finding the Third Proportional to 10,136.23 and 22,245.89

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Solution

The third proportional to 10,136.23 and 22,245.89 is: 48,822.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,136.23 : 22,245.89 = 22,245.89 : x
  2. Step 2: Convert to fraction form
    10,136.23/22,245.89 = 22,245.89/x
  3. Step 3: Cross multiply
    10,136.23x = 22,245.89 × 22,245.89
  4. Step 4: Simplify right side
    10,136.23x = 494,879,649.70
  5. Step 5: Solve for x
    x = 494,879,649.70/10,136.23
  6. Step 6: Final answer
    x = 48,822.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.