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Finding the Third Proportional to 11,956.50 and 24,441

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Solution

The third proportional to 11,956.50 and 24,441 is: 49,961.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,956.50 : 24,441 = 24,441 : x
  2. Step 2: Convert to fraction form
    11,956.50/24,441 = 24,441/x
  3. Step 3: Cross multiply
    11,956.50x = 24,441 × 24,441
  4. Step 4: Simplify right side
    11,956.50x = 597,362,481
  5. Step 5: Solve for x
    x = 597,362,481/11,956.50
  6. Step 6: Final answer
    x = 49,961.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.