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Finding the Third Proportional to 16,740 and 23,404.50

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Solution

The third proportional to 16,740 and 23,404.50 is: 32,722.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,740 : 23,404.50 = 23,404.50 : x
  2. Step 2: Convert to fraction form
    16,740/23,404.50 = 23,404.50/x
  3. Step 3: Cross multiply
    16,740x = 23,404.50 × 23,404.50
  4. Step 4: Simplify right side
    16,740x = 547,770,620.25
  5. Step 5: Solve for x
    x = 547,770,620.25/16,740
  6. Step 6: Final answer
    x = 32,722.26

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.