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Finding the Third Proportional to 32,858.25 and 51,477.75

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Solution

The third proportional to 32,858.25 and 51,477.75 is: 80,648.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,858.25 : 51,477.75 = 51,477.75 : x
  2. Step 2: Convert to fraction form
    32,858.25/51,477.75 = 51,477.75/x
  3. Step 3: Cross multiply
    32,858.25x = 51,477.75 × 51,477.75
  4. Step 4: Simplify right side
    32,858.25x = 2,649,958,745.06
  5. Step 5: Solve for x
    x = 2,649,958,745.06/32,858.25
  6. Step 6: Final answer
    x = 80,648.20

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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.