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Finding the Third Proportional to 32,728.50 and 51,198.75

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Solution

The third proportional to 32,728.50 and 51,198.75 is: 80,092.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,728.50 : 51,198.75 = 51,198.75 : x
  2. Step 2: Convert to fraction form
    32,728.50/51,198.75 = 51,198.75/x
  3. Step 3: Cross multiply
    32,728.50x = 51,198.75 × 51,198.75
  4. Step 4: Simplify right side
    32,728.50x = 2,621,312,001.56
  5. Step 5: Solve for x
    x = 2,621,312,001.56/32,728.50
  6. Step 6: Final answer
    x = 80,092.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.