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Finding the Third Proportional to 29,268.21 and 32,343.68

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Solution

The third proportional to 29,268.21 and 32,343.68 is: 35,742.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,268.21 : 32,343.68 = 32,343.68 : x
  2. Step 2: Convert to fraction form
    29,268.21/32,343.68 = 32,343.68/x
  3. Step 3: Cross multiply
    29,268.21x = 32,343.68 × 32,343.68
  4. Step 4: Simplify right side
    29,268.21x = 1,046,113,615.73
  5. Step 5: Solve for x
    x = 1,046,113,615.73/29,268.21
  6. Step 6: Final answer
    x = 35,742.32

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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.