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Finding the Third Proportional to 37,813.50 and 80,595

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Solution

The third proportional to 37,813.50 and 80,595 is: 171,778.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,813.50 : 80,595 = 80,595 : x
  2. Step 2: Convert to fraction form
    37,813.50/80,595 = 80,595/x
  3. Step 3: Cross multiply
    37,813.50x = 80,595 × 80,595
  4. Step 4: Simplify right side
    37,813.50x = 6,495,554,025
  5. Step 5: Solve for x
    x = 6,495,554,025/37,813.50
  6. Step 6: Final answer
    x = 171,778.70

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.