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Finding the Third Proportional to 8,727.75 and 20,548.69

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Solution

The third proportional to 8,727.75 and 20,548.69 is: 48,380.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,727.75 : 20,548.69 = 20,548.69 : x
  2. Step 2: Convert to fraction form
    8,727.75/20,548.69 = 20,548.69/x
  3. Step 3: Cross multiply
    8,727.75x = 20,548.69 × 20,548.69
  4. Step 4: Simplify right side
    8,727.75x = 422,248,557.97
  5. Step 5: Solve for x
    x = 422,248,557.97/8,727.75
  6. Step 6: Final answer
    x = 48,380.00

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.