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Finding the Third Proportional to 37,063.50 and 79,755

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Solution

The third proportional to 37,063.50 and 79,755 is: 171,620.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,063.50 : 79,755 = 79,755 : x
  2. Step 2: Convert to fraction form
    37,063.50/79,755 = 79,755/x
  3. Step 3: Cross multiply
    37,063.50x = 79,755 × 79,755
  4. Step 4: Simplify right side
    37,063.50x = 6,360,860,025
  5. Step 5: Solve for x
    x = 6,360,860,025/37,063.50
  6. Step 6: Final answer
    x = 171,620.60

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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.