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Finding the Third Proportional to 17,779.50 and 36,567

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Solution

The third proportional to 17,779.50 and 36,567 is: 75,207.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,779.50 : 36,567 = 36,567 : x
  2. Step 2: Convert to fraction form
    17,779.50/36,567 = 36,567/x
  3. Step 3: Cross multiply
    17,779.50x = 36,567 × 36,567
  4. Step 4: Simplify right side
    17,779.50x = 1,337,145,489
  5. Step 5: Solve for x
    x = 1,337,145,489/17,779.50
  6. Step 6: Final answer
    x = 75,207.15

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.