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Finding the Third Proportional to 16,469 and 24,658.63

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Solution

The third proportional to 16,469 and 24,658.63 is: 36,920.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,469 : 24,658.63 = 24,658.63 : x
  2. Step 2: Convert to fraction form
    16,469/24,658.63 = 24,658.63/x
  3. Step 3: Cross multiply
    16,469x = 24,658.63 × 24,658.63
  4. Step 4: Simplify right side
    16,469x = 608,047,786.89
  5. Step 5: Solve for x
    x = 608,047,786.89/16,469
  6. Step 6: Final answer
    x = 36,920.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.