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Finding the Third Proportional to 11,727.94 and 23,933.44

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Solution

The third proportional to 11,727.94 and 23,933.44 is: 48,841.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,727.94 : 23,933.44 = 23,933.44 : x
  2. Step 2: Convert to fraction form
    11,727.94/23,933.44 = 23,933.44/x
  3. Step 3: Cross multiply
    11,727.94x = 23,933.44 × 23,933.44
  4. Step 4: Simplify right side
    11,727.94x = 572,809,430.57
  5. Step 5: Solve for x
    x = 572,809,430.57/11,727.94
  6. Step 6: Final answer
    x = 48,841.45

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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.