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Finding the Third Proportional to 32,850.56 and 51,474.23

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Solution

The third proportional to 32,850.56 and 51,474.23 is: 80,656.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,850.56 : 51,474.23 = 51,474.23 : x
  2. Step 2: Convert to fraction form
    32,850.56/51,474.23 = 51,474.23/x
  3. Step 3: Cross multiply
    32,850.56x = 51,474.23 × 51,474.23
  4. Step 4: Simplify right side
    32,850.56x = 2,649,596,804.49
  5. Step 5: Solve for x
    x = 2,649,596,804.49/32,850.56
  6. Step 6: Final answer
    x = 80,656.06

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.