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Finding the Third Proportional to 11,965.50 and 16,242.75

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Solution

The third proportional to 11,965.50 and 16,242.75 is: 22,048.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,965.50 : 16,242.75 = 16,242.75 : x
  2. Step 2: Convert to fraction form
    11,965.50/16,242.75 = 16,242.75/x
  3. Step 3: Cross multiply
    11,965.50x = 16,242.75 × 16,242.75
  4. Step 4: Simplify right side
    11,965.50x = 263,826,927.56
  5. Step 5: Solve for x
    x = 263,826,927.56/11,965.50
  6. Step 6: Final answer
    x = 22,048.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.