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Finding the Third Proportional to 36,755 and 80,514.50

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Solution

The third proportional to 36,755 and 80,514.50 is: 176,372.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,755 : 80,514.50 = 80,514.50 : x
  2. Step 2: Convert to fraction form
    36,755/80,514.50 = 80,514.50/x
  3. Step 3: Cross multiply
    36,755x = 80,514.50 × 80,514.50
  4. Step 4: Simplify right side
    36,755x = 6,482,584,710.25
  5. Step 5: Solve for x
    x = 6,482,584,710.25/36,755
  6. Step 6: Final answer
    x = 176,372.87

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.