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Finding the Third Proportional to 20,157.75 and 43,813.50

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Solution

The third proportional to 20,157.75 and 43,813.50 is: 95,230.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,157.75 : 43,813.50 = 43,813.50 : x
  2. Step 2: Convert to fraction form
    20,157.75/43,813.50 = 43,813.50/x
  3. Step 3: Cross multiply
    20,157.75x = 43,813.50 × 43,813.50
  4. Step 4: Simplify right side
    20,157.75x = 1,919,622,782.25
  5. Step 5: Solve for x
    x = 1,919,622,782.25/20,157.75
  6. Step 6: Final answer
    x = 95,230.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.