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Finding the Third Proportional to 29,739.25 and 40,369.75

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Solution

The third proportional to 29,739.25 and 40,369.75 is: 54,800.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,739.25 : 40,369.75 = 40,369.75 : x
  2. Step 2: Convert to fraction form
    29,739.25/40,369.75 = 40,369.75/x
  3. Step 3: Cross multiply
    29,739.25x = 40,369.75 × 40,369.75
  4. Step 4: Simplify right side
    29,739.25x = 1,629,716,715.06
  5. Step 5: Solve for x
    x = 1,629,716,715.06/29,739.25
  6. Step 6: Final answer
    x = 54,800.20

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.