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Finding the Third Proportional to 19,676.38 and 22,136.75

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Solution

The third proportional to 19,676.38 and 22,136.75 is: 24,904.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,676.38 : 22,136.75 = 22,136.75 : x
  2. Step 2: Convert to fraction form
    19,676.38/22,136.75 = 22,136.75/x
  3. Step 3: Cross multiply
    19,676.38x = 22,136.75 × 22,136.75
  4. Step 4: Simplify right side
    19,676.38x = 490,035,700.56
  5. Step 5: Solve for x
    x = 490,035,700.56/19,676.38
  6. Step 6: Final answer
    x = 24,904.78

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.