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Finding the Third Proportional to 11,997 and 24,765.75

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Solution

The third proportional to 11,997 and 24,765.75 is: 51,124.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,997 : 24,765.75 = 24,765.75 : x
  2. Step 2: Convert to fraction form
    11,997/24,765.75 = 24,765.75/x
  3. Step 3: Cross multiply
    11,997x = 24,765.75 × 24,765.75
  4. Step 4: Simplify right side
    11,997x = 613,342,373.06
  5. Step 5: Solve for x
    x = 613,342,373.06/11,997
  6. Step 6: Final answer
    x = 51,124.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.