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Finding the Third Proportional to 32,268.25 and 69,899.43

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Solution

The third proportional to 32,268.25 and 69,899.43 is: 151,416.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,268.25 : 69,899.43 = 69,899.43 : x
  2. Step 2: Convert to fraction form
    32,268.25/69,899.43 = 69,899.43/x
  3. Step 3: Cross multiply
    32,268.25x = 69,899.43 × 69,899.43
  4. Step 4: Simplify right side
    32,268.25x = 4,885,929,724.55
  5. Step 5: Solve for x
    x = 4,885,929,724.55/32,268.25
  6. Step 6: Final answer
    x = 151,416.03

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.