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Finding the Third Proportional to 16,024.50 and 20,346.75

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Solution

The third proportional to 16,024.50 and 20,346.75 is: 25,834.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,024.50 : 20,346.75 = 20,346.75 : x
  2. Step 2: Convert to fraction form
    16,024.50/20,346.75 = 20,346.75/x
  3. Step 3: Cross multiply
    16,024.50x = 20,346.75 × 20,346.75
  4. Step 4: Simplify right side
    16,024.50x = 413,990,235.56
  5. Step 5: Solve for x
    x = 413,990,235.56/16,024.50
  6. Step 6: Final answer
    x = 25,834.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.