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Finding the Third Proportional to 16,474 and 24,089

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Solution

The third proportional to 16,474 and 24,089 is: 35,223.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,474 : 24,089 = 24,089 : x
  2. Step 2: Convert to fraction form
    16,474/24,089 = 24,089/x
  3. Step 3: Cross multiply
    16,474x = 24,089 × 24,089
  4. Step 4: Simplify right side
    16,474x = 580,279,921
  5. Step 5: Solve for x
    x = 580,279,921/16,474
  6. Step 6: Final answer
    x = 35,223.98

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.