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Finding the Third Proportional to 18,797.50 and 40,874

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Solution

The third proportional to 18,797.50 and 40,874 is: 88,877.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,797.50 : 40,874 = 40,874 : x
  2. Step 2: Convert to fraction form
    18,797.50/40,874 = 40,874/x
  3. Step 3: Cross multiply
    18,797.50x = 40,874 × 40,874
  4. Step 4: Simplify right side
    18,797.50x = 1,670,683,876
  5. Step 5: Solve for x
    x = 1,670,683,876/18,797.50
  6. Step 6: Final answer
    x = 88,877.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.