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Finding the Third Proportional to 32,231.25 and 49,804.88

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Solution

The third proportional to 32,231.25 and 49,804.88 is: 76,960.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,231.25 : 49,804.88 = 49,804.88 : x
  2. Step 2: Convert to fraction form
    32,231.25/49,804.88 = 49,804.88/x
  3. Step 3: Cross multiply
    32,231.25x = 49,804.88 × 49,804.88
  4. Step 4: Simplify right side
    32,231.25x = 2,480,525,573.77
  5. Step 5: Solve for x
    x = 2,480,525,573.77/32,231.25
  6. Step 6: Final answer
    x = 76,960.27

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.