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Finding the Third Proportional to 32,205.75 and 48,661.88

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Solution

The third proportional to 32,205.75 and 48,661.88 is: 73,526.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,205.75 : 48,661.88 = 48,661.88 : x
  2. Step 2: Convert to fraction form
    32,205.75/48,661.88 = 48,661.88/x
  3. Step 3: Cross multiply
    32,205.75x = 48,661.88 × 48,661.88
  4. Step 4: Simplify right side
    32,205.75x = 2,367,978,078.52
  5. Step 5: Solve for x
    x = 2,367,978,078.52/32,205.75
  6. Step 6: Final answer
    x = 73,526.56

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.