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Finding the Third Proportional to 11,236.50 and 16,854.75

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Solution

The third proportional to 11,236.50 and 16,854.75 is: 25,282.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,236.50 : 16,854.75 = 16,854.75 : x
  2. Step 2: Convert to fraction form
    11,236.50/16,854.75 = 16,854.75/x
  3. Step 3: Cross multiply
    11,236.50x = 16,854.75 × 16,854.75
  4. Step 4: Simplify right side
    11,236.50x = 284,082,597.56
  5. Step 5: Solve for x
    x = 284,082,597.56/11,236.50
  6. Step 6: Final answer
    x = 25,282.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.