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Finding the Third Proportional to 16,399 and 24,601.75

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Solution

The third proportional to 16,399 and 24,601.75 is: 36,907.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,399 : 24,601.75 = 24,601.75 : x
  2. Step 2: Convert to fraction form
    16,399/24,601.75 = 24,601.75/x
  3. Step 3: Cross multiply
    16,399x = 24,601.75 × 24,601.75
  4. Step 4: Simplify right side
    16,399x = 605,246,103.06
  5. Step 5: Solve for x
    x = 605,246,103.06/16,399
  6. Step 6: Final answer
    x = 36,907.50

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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.