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Finding the Third Proportional to 36,748.05 and 80,499.45

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Solution

The third proportional to 36,748.05 and 80,499.45 is: 176,340.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,748.05 : 80,499.45 = 80,499.45 : x
  2. Step 2: Convert to fraction form
    36,748.05/80,499.45 = 80,499.45/x
  3. Step 3: Cross multiply
    36,748.05x = 80,499.45 × 80,499.45
  4. Step 4: Simplify right side
    36,748.05x = 6,480,160,695.62
  5. Step 5: Solve for x
    x = 6,480,160,695.62/36,748.05
  6. Step 6: Final answer
    x = 176,340.24

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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.