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Finding the Third Proportional to 13,772.25 and 18,187.88

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Solution

The third proportional to 13,772.25 and 18,187.88 is: 24,019.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,772.25 : 18,187.88 = 18,187.88 : x
  2. Step 2: Convert to fraction form
    13,772.25/18,187.88 = 18,187.88/x
  3. Step 3: Cross multiply
    13,772.25x = 18,187.88 × 18,187.88
  4. Step 4: Simplify right side
    13,772.25x = 330,798,797.02
  5. Step 5: Solve for x
    x = 330,798,797.02/13,772.25
  6. Step 6: Final answer
    x = 24,019.23

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.