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Finding the Third Proportional to 23,145.75 and 27,793.13

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Solution

The third proportional to 23,145.75 and 27,793.13 is: 33,373.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,145.75 : 27,793.13 = 27,793.13 : x
  2. Step 2: Convert to fraction form
    23,145.75/27,793.13 = 27,793.13/x
  3. Step 3: Cross multiply
    23,145.75x = 27,793.13 × 27,793.13
  4. Step 4: Simplify right side
    23,145.75x = 772,457,797.27
  5. Step 5: Solve for x
    x = 772,457,797.27/23,145.75
  6. Step 6: Final answer
    x = 33,373.63

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.