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Finding the Third Proportional to 11,994.75 and 19,909.13

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Solution

The third proportional to 11,994.75 and 19,909.13 is: 33,045.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,994.75 : 19,909.13 = 19,909.13 : x
  2. Step 2: Convert to fraction form
    11,994.75/19,909.13 = 19,909.13/x
  3. Step 3: Cross multiply
    11,994.75x = 19,909.13 × 19,909.13
  4. Step 4: Simplify right side
    11,994.75x = 396,373,258.27
  5. Step 5: Solve for x
    x = 396,373,258.27/11,994.75
  6. Step 6: Final answer
    x = 33,045.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.