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Finding the Third Proportional to 18,145.50 and 38,751.38

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Solution

The third proportional to 18,145.50 and 38,751.38 is: 82,757.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,145.50 : 38,751.38 = 38,751.38 : x
  2. Step 2: Convert to fraction form
    18,145.50/38,751.38 = 38,751.38/x
  3. Step 3: Cross multiply
    18,145.50x = 38,751.38 × 38,751.38
  4. Step 4: Simplify right side
    18,145.50x = 1,501,669,064.39
  5. Step 5: Solve for x
    x = 1,501,669,064.39/18,145.50
  6. Step 6: Final answer
    x = 82,757.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.