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Finding the Third Proportional to 18,145.27 and 41,029.03

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Solution

The third proportional to 18,145.27 and 41,029.03 is: 92,772.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,145.27 : 41,029.03 = 41,029.03 : x
  2. Step 2: Convert to fraction form
    18,145.27/41,029.03 = 41,029.03/x
  3. Step 3: Cross multiply
    18,145.27x = 41,029.03 × 41,029.03
  4. Step 4: Simplify right side
    18,145.27x = 1,683,381,405.31
  5. Step 5: Solve for x
    x = 1,683,381,405.31/18,145.27
  6. Step 6: Final answer
    x = 92,772.49

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.