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Finding the Third Proportional to 36,544.50 and 78,728.63

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Solution

The third proportional to 36,544.50 and 78,728.63 is: 169,606.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,544.50 : 78,728.63 = 78,728.63 : x
  2. Step 2: Convert to fraction form
    36,544.50/78,728.63 = 78,728.63/x
  3. Step 3: Cross multiply
    36,544.50x = 78,728.63 × 78,728.63
  4. Step 4: Simplify right side
    36,544.50x = 6,198,196,394.39
  5. Step 5: Solve for x
    x = 6,198,196,394.39/36,544.50
  6. Step 6: Final answer
    x = 169,606.82

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