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Finding the Third Proportional to 16,740 and 24,563.25

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Solution

The third proportional to 16,740 and 24,563.25 is: 36,042.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,740 : 24,563.25 = 24,563.25 : x
  2. Step 2: Convert to fraction form
    16,740/24,563.25 = 24,563.25/x
  3. Step 3: Cross multiply
    16,740x = 24,563.25 × 24,563.25
  4. Step 4: Simplify right side
    16,740x = 603,353,250.56
  5. Step 5: Solve for x
    x = 603,353,250.56/16,740
  6. Step 6: Final answer
    x = 36,042.61

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.