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Finding the Third Proportional to 32,100.21 and 75,464.31

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Solution

The third proportional to 32,100.21 and 75,464.31 is: 177,408.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,100.21 : 75,464.31 = 75,464.31 : x
  2. Step 2: Convert to fraction form
    32,100.21/75,464.31 = 75,464.31/x
  3. Step 3: Cross multiply
    32,100.21x = 75,464.31 × 75,464.31
  4. Step 4: Simplify right side
    32,100.21x = 5,694,862,755.88
  5. Step 5: Solve for x
    x = 5,694,862,755.88/32,100.21
  6. Step 6: Final answer
    x = 177,408.92

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.