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Finding the Third Proportional to 16,555.50 and 36,567

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Solution

The third proportional to 16,555.50 and 36,567 is: 80,767.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,555.50 : 36,567 = 36,567 : x
  2. Step 2: Convert to fraction form
    16,555.50/36,567 = 36,567/x
  3. Step 3: Cross multiply
    16,555.50x = 36,567 × 36,567
  4. Step 4: Simplify right side
    16,555.50x = 1,337,145,489
  5. Step 5: Solve for x
    x = 1,337,145,489/16,555.50
  6. Step 6: Final answer
    x = 80,767.45

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.