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Finding the Third Proportional to 22,872.38 and 48,239.30

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Solution

The third proportional to 22,872.38 and 48,239.30 is: 101,739.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,872.38 : 48,239.30 = 48,239.30 : x
  2. Step 2: Convert to fraction form
    22,872.38/48,239.30 = 48,239.30/x
  3. Step 3: Cross multiply
    22,872.38x = 48,239.30 × 48,239.30
  4. Step 4: Simplify right side
    22,872.38x = 2,327,029,762.99
  5. Step 5: Solve for x
    x = 2,327,029,762.99/22,872.38
  6. Step 6: Final answer
    x = 101,739.75

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.