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Finding the Third Proportional to 19,816.50 and 27,173.25

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Solution

The third proportional to 19,816.50 and 27,173.25 is: 37,261.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,816.50 : 27,173.25 = 27,173.25 : x
  2. Step 2: Convert to fraction form
    19,816.50/27,173.25 = 27,173.25/x
  3. Step 3: Cross multiply
    19,816.50x = 27,173.25 × 27,173.25
  4. Step 4: Simplify right side
    19,816.50x = 738,385,515.56
  5. Step 5: Solve for x
    x = 738,385,515.56/19,816.50
  6. Step 6: Final answer
    x = 37,261.15

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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.