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Finding the Third Proportional to 36,499.50 and 40,339.50

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Solution

The third proportional to 36,499.50 and 40,339.50 is: 44,583.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,499.50 : 40,339.50 = 40,339.50 : x
  2. Step 2: Convert to fraction form
    36,499.50/40,339.50 = 40,339.50/x
  3. Step 3: Cross multiply
    36,499.50x = 40,339.50 × 40,339.50
  4. Step 4: Simplify right side
    36,499.50x = 1,627,275,260.25
  5. Step 5: Solve for x
    x = 1,627,275,260.25/36,499.50
  6. Step 6: Final answer
    x = 44,583.49

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.