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Finding the Third Proportional to 20,760.75 and 32,235.75

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Solution

The third proportional to 20,760.75 and 32,235.75 is: 50,053.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,760.75 : 32,235.75 = 32,235.75 : x
  2. Step 2: Convert to fraction form
    20,760.75/32,235.75 = 32,235.75/x
  3. Step 3: Cross multiply
    20,760.75x = 32,235.75 × 32,235.75
  4. Step 4: Simplify right side
    20,760.75x = 1,039,143,578.06
  5. Step 5: Solve for x
    x = 1,039,143,578.06/20,760.75
  6. Step 6: Final answer
    x = 50,053.28

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1.5x scale

Why These Related Problems?

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