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Finding the Third Proportional to 18,175.64 and 38,548.41

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Solution

The third proportional to 18,175.64 and 38,548.41 is: 81,756.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,175.64 : 38,548.41 = 38,548.41 : x
  2. Step 2: Convert to fraction form
    18,175.64/38,548.41 = 38,548.41/x
  3. Step 3: Cross multiply
    18,175.64x = 38,548.41 × 38,548.41
  4. Step 4: Simplify right side
    18,175.64x = 1,485,979,624.42
  5. Step 5: Solve for x
    x = 1,485,979,624.42/18,175.64
  6. Step 6: Final answer
    x = 81,756.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.