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Finding the Third Proportional to 14,871.75 and 20,393.25

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Solution

The third proportional to 14,871.75 and 20,393.25 is: 27,964.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,871.75 : 20,393.25 = 20,393.25 : x
  2. Step 2: Convert to fraction form
    14,871.75/20,393.25 = 20,393.25/x
  3. Step 3: Cross multiply
    14,871.75x = 20,393.25 × 20,393.25
  4. Step 4: Simplify right side
    14,871.75x = 415,884,645.56
  5. Step 5: Solve for x
    x = 415,884,645.56/14,871.75
  6. Step 6: Final answer
    x = 27,964.74

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.