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Finding the Third Proportional to 20,034 and 32,919.75

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Solution

The third proportional to 20,034 and 32,919.75 is: 54,093.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,034 : 32,919.75 = 32,919.75 : x
  2. Step 2: Convert to fraction form
    20,034/32,919.75 = 32,919.75/x
  3. Step 3: Cross multiply
    20,034x = 32,919.75 × 32,919.75
  4. Step 4: Simplify right side
    20,034x = 1,083,709,940.06
  5. Step 5: Solve for x
    x = 1,083,709,940.06/20,034
  6. Step 6: Final answer
    x = 54,093.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.