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Finding the Third Proportional to 16,122.38 and 24,902.44

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Solution

The third proportional to 16,122.38 and 24,902.44 is: 38,464.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,122.38 : 24,902.44 = 24,902.44 : x
  2. Step 2: Convert to fraction form
    16,122.38/24,902.44 = 24,902.44/x
  3. Step 3: Cross multiply
    16,122.38x = 24,902.44 × 24,902.44
  4. Step 4: Simplify right side
    16,122.38x = 620,131,393.44
  5. Step 5: Solve for x
    x = 620,131,393.44/16,122.38
  6. Step 6: Final answer
    x = 38,464.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.