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Finding the Third Proportional to 32,272.88 and 68,461.31

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Solution

The third proportional to 32,272.88 and 68,461.31 is: 145,228.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,272.88 : 68,461.31 = 68,461.31 : x
  2. Step 2: Convert to fraction form
    32,272.88/68,461.31 = 68,461.31/x
  3. Step 3: Cross multiply
    32,272.88x = 68,461.31 × 68,461.31
  4. Step 4: Simplify right side
    32,272.88x = 4,686,951,309.22
  5. Step 5: Solve for x
    x = 4,686,951,309.22/32,272.88
  6. Step 6: Final answer
    x = 145,228.81

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.