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Finding the Third Proportional to 8,182.69 and 18,177.75

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Solution

The third proportional to 8,182.69 and 18,177.75 is: 40,381.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,182.69 : 18,177.75 = 18,177.75 : x
  2. Step 2: Convert to fraction form
    8,182.69/18,177.75 = 18,177.75/x
  3. Step 3: Cross multiply
    8,182.69x = 18,177.75 × 18,177.75
  4. Step 4: Simplify right side
    8,182.69x = 330,430,595.06
  5. Step 5: Solve for x
    x = 330,430,595.06/8,182.69
  6. Step 6: Final answer
    x = 40,381.67

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.