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Finding the Third Proportional to 38,509.50 and 82,749

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Solution

The third proportional to 38,509.50 and 82,749 is: 177,810.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,509.50 : 82,749 = 82,749 : x
  2. Step 2: Convert to fraction form
    38,509.50/82,749 = 82,749/x
  3. Step 3: Cross multiply
    38,509.50x = 82,749 × 82,749
  4. Step 4: Simplify right side
    38,509.50x = 6,847,397,001
  5. Step 5: Solve for x
    x = 6,847,397,001/38,509.50
  6. Step 6: Final answer
    x = 177,810.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.